fix(site): formulas — downgrade markdown-it-mathjax3 to v4 (fix hydration)

The duplicate-then-disappearing formulas were a Vue hydration mismatch,
not a CSS problem. markdown-it-mathjax3 v5 pulls the `mathxyjax3` fork,
which emits each formula's CSS as an in-content `<style>` block scoped to
a per-container `#mjx-<id>` that the static build never sets. The orphaned
scoped CSS left the screen-reader MathML twin visible (the duplicate), and
the in-`<main>` `<style>` elements break VitePress/Vue hydration
("Hydration completed but contains mismatches"), which strips the SVG
glyph `<path>`s and blanks every formula after the page finishes loading.

Downgrade to markdown-it-mathjax3 ^4.3.2 — the mathjax-full-based version
VitePress officially supports. It uses `juice` to inline all CSS into the
element `style` attributes (no in-content `<style>`), so hydration is
clean (glyphs survive) and the MathML twin is hidden by its own inlined
style (no duplicate). This also drops the earlier custom.css workaround,
which only treated the symptom and itself blanked the formulas.

Verified with a headless Chromium render of the built /ru/rules: all 10
formulas keep their glyph paths after hydration, no console mismatch, no
duplicate copies.

site/pnpm-lock.yaml

@@ -9,11 +9,11 @@ importers:
   .:
     devDependencies:
       markdown-it-mathjax3:
-        specifier: ^5.2.0
-        version: 5.2.0
+        specifier: ^4.3.2
+        version: 4.3.2
       vitepress:
         specifier: ^1.6.4
-        version: 1.6.4(@algolia/client-search@5.52.1)(markdown-it-mathjax3@5.2.0)(postcss@8.5.15)(search-insights@2.17.3)
+        version: 1.6.4(@algolia/client-search@5.52.1)(markdown-it-mathjax3@4.3.2)(postcss@8.5.15)(search-insights@2.17.3)
 
 packages:
 
@@ -418,62 +418,6 @@ packages:
     cpu: [x64]
     os: [win32]
 
-  '@se-oss/deasync-darwin-arm64@1.0.1':
-    resolution: {integrity: sha512-0YWmIDEGQfW3GGopmZHhfA6mamsG0HFKZhmBzHVyFiMKkJts8kpQwGbGrWlK8eOAoPCihOsG6tCotYR3p7HZaQ==}
-    engines: {node: '>= 10'}
-    cpu: [arm64]
-    os: [darwin]
-
-  '@se-oss/deasync-darwin-x64@1.0.1':
-    resolution: {integrity: sha512-r3FRTLIXqGqOb1DjTLW3YhO/Dd1vA2qRLP0Ym3Wmk3yMv6c/nm15zg6UVoXbgBu8cjbvcsI/OfbHPdErmjMWsw==}
-    engines: {node: '>= 10'}
-    cpu: [x64]
-    os: [darwin]
-
-  '@se-oss/deasync-linux-arm64-gnu@1.0.1':
-    resolution: {integrity: sha512-657uRew7fZAx663Li03ilLV2lN09Dqb/NxawlDu8kKmboK1BLitHJRS+taiT5oFZqyIDrU45tlQKfCrW0p0sYA==}
-    engines: {node: '>= 10'}
-    cpu: [arm64]
-    os: [linux]
-    libc: [glibc]
-
-  '@se-oss/deasync-linux-arm64-musl@1.0.1':
-    resolution: {integrity: sha512-IE3fIQPIJtko4lx9sRam+Zz0P4xbpAPJgDCHaz6k9cP1yUvVI179B4IZRnFx0GyjyQpm0KhHoIGHJc4KUmA81Q==}
-    engines: {node: '>= 10'}
-    cpu: [arm64]
-    os: [linux]
-    libc: [musl]
-
-  '@se-oss/deasync-linux-x64-gnu@1.0.1':
-    resolution: {integrity: sha512-XQl7etZESGIjIraCyxfAey8ZTIJUB4dUFU3rPR/xLVn9bKpZGlJLIms0z3hoHX9mipO+Cqo53vK4IVm6A7U/ww==}
-    engines: {node: '>= 10'}
-    cpu: [x64]
-    os: [linux]
-    libc: [glibc]
-
-  '@se-oss/deasync-linux-x64-musl@1.0.1':
-    resolution: {integrity: sha512-vWgFAZlqImqMV6jhCWV7C9wcCS1eb1ajhlKduBRPfyUxxkoObe+EqTG2BKJAuafxp3/KS1aUsIMJma9mhwFvow==}
-    engines: {node: '>= 10'}
-    cpu: [x64]
-    os: [linux]
-    libc: [musl]
-
-  '@se-oss/deasync-win32-arm64-msvc@1.0.1':
-    resolution: {integrity: sha512-yk7lEE7Zd8GX7o6CuUbg3HnnmUhBx4tgfn5ff3eoq05CgBO6Z3ZtL4l+utAe1cxcFaXPhyvcgnHYyA4OF544tg==}
-    engines: {node: '>= 10'}
-    cpu: [arm64]
-    os: [win32]
-
-  '@se-oss/deasync-win32-x64-msvc@1.0.1':
-    resolution: {integrity: sha512-ixizmuLGRPGyAesWUNWVzVOsvuunNb/qMqU8SmjfLR/vVgzdQEkSHFf+fkX9GXPN6FDv+DAz5uskTzhjUyCXFA==}
-    engines: {node: '>= 10'}
-    cpu: [x64]
-    os: [win32]
-
-  '@se-oss/deasync@1.0.1':
-    resolution: {integrity: sha512-Ha7P/xCNxOuH72BNdLRWs4TT8rsMMrERnHtfKWBeTWu+UFW9OBTrRgfZJOlbAAQFR0l4Q30cpAn8CuR7PXWcPg==}
-    engines: {node: '>= 10'}
-
   '@shikijs/core@2.5.0':
     resolution: {integrity: sha512-uu/8RExTKtavlpH7XqnVYBrfBkUc20ngXiX9NSrBhOVZYv/7XQRKUyhtkeflY5QsxC0GbJThCerruZfsUaSldg==}
 
@@ -620,13 +564,24 @@ packages:
   '@vueuse/shared@12.8.2':
     resolution: {integrity: sha512-dznP38YzxZoNloI0qpEfpkms8knDtaoQ6Y/sfS0L7Yki4zh40LFHEhur0odJC6xTHG5dxWVPiUWBXn+wCG2s5w==}
 
+  '@xmldom/xmldom@0.9.10':
+    resolution: {integrity: sha512-A9gOqLdi6cV4ibazAjcQufGj0B1y/vDqYrcuP6d/6x8P27gRS8643Dj9o1dEKtB6O7fwxb2FgBmJS2mX7gpvdw==}
+    engines: {node: '>=14.6'}
+
   algoliasearch@5.52.1:
     resolution: {integrity: sha512-fHA8+kXTbjagw3jkLiaS7KKrH8qe2DyOsiUhGlN4cdT77PEsfqXZl7ewDk1hsg+pJnPlnE50XtLxjR91iJOpmg==}
     engines: {node: '>= 14.0.0'}
 
+  ansi-colors@4.1.3:
+    resolution: {integrity: sha512-/6w/C21Pm1A7aZitlI5Ni/2J6FFQN8i1Cvz3kHABAAbw93v/NlvKdVOqz7CCWz/3iv/JplRSEEZ83XION15ovw==}
+    engines: {node: '>=6'}
+
   birpc@2.9.0:
     resolution: {integrity: sha512-KrayHS5pBi69Xi9JmvoqrIgYGDkD6mcSe/i6YKi3w5kekCLzrX4+nawcXqrj2tIp50Kw/mT/s3p+GVK0A0sKxw==}
 
+  boolbase@1.0.0:
+    resolution: {integrity: sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww==}
+
   ccount@2.0.1:
     resolution: {integrity: sha512-eyrF0jiFpY+3drT6383f1qhkbGsLSifNAjA61IUjZjmLCWjItY6LB9ft9YhoDgwfmclB2zhu51Lc7+95b8NRAg==}
 
@@ -636,13 +591,35 @@ packages:
   character-entities-legacy@3.0.0:
     resolution: {integrity: sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ==}
 
+  cheerio-select@1.6.0:
+    resolution: {integrity: sha512-eq0GdBvxVFbqWgmCm7M3XGs1I8oLy/nExUnh6oLqmBditPO9AqQJrkslDpMun/hZ0yyTs8L0m85OHp4ho6Qm9g==}
+
+  cheerio@1.0.0-rc.10:
+    resolution: {integrity: sha512-g0J0q/O6mW8z5zxQ3A8E8J1hUgp4SMOvEoW/x84OwyHKe/Zccz83PVT4y5Crcr530FV6NgmKI1qvGTKVl9XXVw==}
+    engines: {node: '>= 6'}
+
   comma-separated-tokens@2.0.3:
     resolution: {integrity: sha512-Fu4hJdvzeylCfQPp9SGWidpzrMs7tTrlu6Vb8XGaRGck8QSNZJJp538Wrb60Lax4fPwR64ViY468OIUTbRlGZg==}
 
+  commander@13.1.0:
+    resolution: {integrity: sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw==}
+    engines: {node: '>=18'}
+
+  commander@6.2.1:
+    resolution: {integrity: sha512-U7VdrJFnJgo4xjrHpTzu0yrHPGImdsmD95ZlgYSEajAn2JKzDhDTPG9kBTefmObL2w/ngeZnilk+OV9CG3d7UA==}
+    engines: {node: '>= 6'}
+
   copy-anything@4.0.5:
     resolution: {integrity: sha512-7Vv6asjS4gMOuILabD3l739tsaxFQmC+a7pLZm02zyvs8p977bL3zEgq3yDk5rn9B0PbYgIv++jmHcuUab4RhA==}
     engines: {node: '>=18'}
 
+  css-select@4.3.0:
+    resolution: {integrity: sha512-wPpOYtnsVontu2mODhA19JrqWxNsfdatRKd64kmpRbQgh1KtItko5sTnEpPdpSaJszTOhEMlF/RPz28qj4HqhQ==}
+
+  css-what@6.2.2:
+    resolution: {integrity: sha512-u/O3vwbptzhMs3L1fQE82ZSLHQQfto5gyZzwteVIEyeaY5Fc7R4dapF/BvRoSYFeqfBk4m0V1Vafq5Pjv25wvA==}
+    engines: {node: '>= 6'}
+
   csstype@3.2.3:
     resolution: {integrity: sha512-z1HGKcYy2xA8AGQfwrn0PAy+PB7X/GSj3UVJW9qKyn43xWa+gl5nXmU4qqLMRzWVLFC8KusUX8T/0kCiOYpAIQ==}
 
@@ -653,9 +630,29 @@ packages:
   devlop@1.1.0:
     resolution: {integrity: sha512-RWmIqhcFf1lRYBvNmr7qTNuyCt/7/ns2jbpp1+PalgE/rDQcBT0fioSMUpJ93irlUhC5hrg4cYqe6U+0ImW0rA==}
 
+  dom-serializer@1.4.1:
+    resolution: {integrity: sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag==}
+
+  domelementtype@2.3.0:
+    resolution: {integrity: sha512-OLETBj6w0OsagBwdXnPdN0cnMfF9opN69co+7ZrbfPGrdpPVNBUj02spi6B1N7wChLQiPn4CSH/zJvXw56gmHw==}
+
+  domhandler@3.3.0:
+    resolution: {integrity: sha512-J1C5rIANUbuYK+FuFL98650rihynUOEzRLxW+90bKZRWB6A1X1Tf82GxR1qAWLyfNPRvjqfip3Q5tdYlmAa9lA==}
+    engines: {node: '>= 4'}
+
+  domhandler@4.3.1:
+    resolution: {integrity: sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ==}
+    engines: {node: '>= 4'}
+
+  domutils@2.8.0:
+    resolution: {integrity: sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A==}
+
   emoji-regex-xs@1.0.0:
     resolution: {integrity: sha512-LRlerrMYoIDrT6jgpeZ2YYl/L8EulRTt5hQcYjy5AInh7HWXKimpqx68aknBFpGL2+/IcogTcaydJEgaTmOpDg==}
 
+  entities@2.2.0:
+    resolution: {integrity: sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A==}
+
   entities@7.0.1:
     resolution: {integrity: sha512-TWrgLOFUQTH994YUyl1yT4uyavY5nNB5muff+RtWaqNVCAK408b5ZnnbNAUEWLTCpum9w6arT70i1XdQ4UeOPA==}
     engines: {node: '>=0.12'}
@@ -665,6 +662,14 @@ packages:
     engines: {node: '>=12'}
     hasBin: true
 
+  escape-goat@3.0.0:
+    resolution: {integrity: sha512-w3PwNZJwRxlp47QGzhuEBldEqVHHhh8/tIPcl6ecf2Bou99cdAt0knihBV0Ecc7CGxYduXVBDheH1K2oADRlvw==}
+    engines: {node: '>=10'}
+
+  esm@3.2.25:
+    resolution: {integrity: sha512-U1suiZ2oDVWv4zPO56S0NcR5QriEahGtdN2OR6FiOG4WJvcjBVFB0qI4+eKoWFH483PKGuLuu6V8Z4T5g63UVA==}
+    engines: {node: '>=6'}
+
   estree-walker@2.0.2:
     resolution: {integrity: sha512-Rfkk/Mp/DL7JVje3u18FxFujQlTNR2q6QfMSMB7AvCBx91NGj/ba3kCfza0f6dVDbw7YlRf/nDrn7pQrCCyQ/w==}
 
@@ -688,25 +693,43 @@ packages:
   html-void-elements@3.0.0:
     resolution: {integrity: sha512-bEqo66MRXsUGxWHV5IP0PUiAWwoEjba4VCzg0LjFJBpchPaTfyfCKTG6bc5F8ucKec3q5y6qOdGyYTSBEvhCrg==}
 
+  htmlparser2@5.0.1:
+    resolution: {integrity: sha512-vKZZra6CSe9qsJzh0BjBGXo8dvzNsq/oGvsjfRdOrrryfeD9UOBEEQdeoqCRmKZchF5h2zOBMQ6YuQ0uRUmdbQ==}
+
+  htmlparser2@6.1.0:
+    resolution: {integrity: sha512-gyyPk6rgonLFEDGoeRgQNaEUvdJ4ktTmmUh/h2t7s+M8oPpIPxgNACWa+6ESR57kXstwqPiCut0V8NRpcwgU7A==}
+
   is-what@5.5.0:
     resolution: {integrity: sha512-oG7cgbmg5kLYae2N5IVd3jm2s+vldjxJzK1pcu9LfpGuQ93MQSzo0okvRna+7y5ifrD+20FE8FvjusyGaz14fw==}
     engines: {node: '>=18'}
 
+  juice@8.1.0:
+    resolution: {integrity: sha512-FLzurJrx5Iv1e7CfBSZH68dC04EEvXvvVvPYB7Vx1WAuhCp1ZPIMtqxc+WTWxVkpTIC2Ach/GAv0rQbtGf6YMA==}
+    engines: {node: '>=10.0.0'}
+    hasBin: true
+
   magic-string@0.30.21:
     resolution: {integrity: sha512-vd2F4YUyEXKGcLHoq+TEyCjxueSeHnFxyyjNp80yg0XV4vUhnDer/lvvlqM/arB5bXQN5K2/3oinyCRyx8T2CQ==}
 
   mark.js@8.11.1:
     resolution: {integrity: sha512-1I+1qpDt4idfgLQG+BNWmrqku+7/2bi5nLf4YwF8y8zXvmfiTBY3PV3ZibfrjBueCByROpuBjLLFCajqkgYoLQ==}
 
-  markdown-it-mathjax3@5.2.0:
-    resolution: {integrity: sha512-R+XAy5/7vSGuhG9Z0/cJm6zKxOzStcScfSKVwoarh4nBra+v1KClvbALr/xFTEe9iQhwfQM4SJnO68LXL+btMA==}
+  markdown-it-mathjax3@4.3.2:
+    resolution: {integrity: sha512-TX3GW5NjmupgFtMJGRauioMbbkGsOXAAt1DZ/rzzYmTHqzkO1rNAdiMD4NiruurToPApn2kYy76x02QN26qr2w==}
 
-  mathxyjax3@0.8.3:
-    resolution: {integrity: sha512-eXjFaiyQsTdVOeTFoFaFJ/r1FITpB1f9c5MW4FETfcoVV/+xa5SD9pS05AwugzL/gNuDtWXrTOSmoD2e0Du+UA==}
+  mathjax-full@3.2.2:
+    resolution: {integrity: sha512-+LfG9Fik+OuI8SLwsiR02IVdjcnRCy5MufYLi0C3TdMT56L/pjB0alMVGgoWJF8pN9Rc7FESycZB9BMNWIid5w==}
+    deprecated: Version 4 replaces this package with the scoped package @mathjax/src
 
   mdast-util-to-hast@13.2.1:
     resolution: {integrity: sha512-cctsq2wp5vTsLIcaymblUriiTcZd0CwWtCbLvrOzYCDZoWyMNV8sZ7krj09FSnsiJi3WVsHLM4k6Dq/yaPyCXA==}
 
+  mensch@0.3.4:
+    resolution: {integrity: sha512-IAeFvcOnV9V0Yk+bFhYR07O3yNina9ANIN5MoXBKYJ/RLYPurd2d0yw14MDhpr9/momp0WofT1bPUh3hkzdi/g==}
+
+  mhchemparser@4.2.1:
+    resolution: {integrity: sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ==}
+
   micromark-util-character@2.1.1:
     resolution: {integrity: sha512-wv8tdUTJ3thSFFFJKtpYKOYiGP2+v96Hvk4Tu8KpCAsTMs6yi+nVmGh1syvSCsaxz45J6Jbw+9DD6g97+NV67Q==}
 
@@ -722,20 +745,46 @@ packages:
   micromark-util-types@2.0.2:
     resolution: {integrity: sha512-Yw0ECSpJoViF1qTU4DC6NwtC4aWGt1EkzaQB8KPPyCRR8z9TWeV0HbEFGTO+ZY1wB22zmxnJqhPyTpOVCpeHTA==}
 
+  mime@2.6.0:
+    resolution: {integrity: sha512-USPkMeET31rOMiarsBNIHZKLGgvKc/LrjofAnBlOttf5ajRvqiRA8QsenbcooctK6d6Ts6aqZXBA+XbkKthiQg==}
+    engines: {node: '>=4.0.0'}
+    hasBin: true
+
   minisearch@7.2.0:
     resolution: {integrity: sha512-dqT2XBYUOZOiC5t2HRnwADjhNS2cecp9u+TJRiJ1Qp/f5qjkeT5APcGPjHw+bz89Ms8Jp+cG4AlE+QZ/QnDglg==}
 
   mitt@3.0.1:
     resolution: {integrity: sha512-vKivATfr97l2/QBCYAkXYDbrIWPM2IIKEl7YPhjCvKlG3kE2gm+uBo6nEXK3M5/Ffh/FLpKExzOQ3JJoJGFKBw==}
 
+  mj-context-menu@0.6.1:
+    resolution: {integrity: sha512-7NO5s6n10TIV96d4g2uDpG7ZDpIhMh0QNfGdJw/W47JswFcosz457wqz/b5sAKvl12sxINGFCn80NZHKwxQEXA==}
+
   nanoid@3.3.12:
     resolution: {integrity: sha512-ZB9RH/39qpq5Vu6Y+NmUaFhQR6pp+M2Xt76XBnEwDaGcVAqhlvxrl3B2bKS5D3NH3QR76v3aSrKaF/Kiy7lEtQ==}
     engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
     hasBin: true
 
+  node-fetch@2.7.0:
+    resolution: {integrity: sha512-c4FRfUm/dbcWZ7U+1Wq0AwCyFL+3nt2bEw05wfxSz+DWpWsitgmSgYmy2dQdWyKC1694ELPqMs/YzUSNozLt8A==}
+    engines: {node: 4.x || >=6.0.0}
+    peerDependencies:
+      encoding: ^0.1.0
+    peerDependenciesMeta:
+      encoding:
+        optional: true
+
+  nth-check@2.1.1:
+    resolution: {integrity: sha512-lqjrjmaOoAnWfMmBPL+XNnynZh2+swxiX3WUE0s4yEHI6m+AwrK2UZOimIRl3X/4QctVqS8AiZjFqyOGrMXb/w==}
+
   oniguruma-to-es@3.1.1:
     resolution: {integrity: sha512-bUH8SDvPkH3ho3dvwJwfonjlQ4R80vjyvrU8YpxuROddv55vAEJrTuCuCVUhhsHbtlD9tGGbaNApGQckXhS8iQ==}
 
+  parse5-htmlparser2-tree-adapter@6.0.1:
+    resolution: {integrity: sha512-qPuWvbLgvDGilKc5BoicRovlT4MtYT6JfJyBOMDsKoiT+GiuP5qyrPCnR9HcPECIJJmZh5jRndyNThnhhb/vlA==}
+
+  parse5@6.0.1:
+    resolution: {integrity: sha512-Ofn/CTFzRGTTxwpNEs9PP93gXShHcTq255nzRYSKe8AkVpZY7e1fpmTfOyoIvjP5HG7Z2ZM7VS9PPhQGW2pOpw==}
+
   perfect-debounce@1.0.0:
     resolution: {integrity: sha512-xCy9V055GLEqoFaHoC1SoLIaLmWctgCUaBaWxDZ7/Zx4CTyX7cJQLJOok/orfjZAh9kEYpjJa4d0KcJmCbctZA==}
 
@@ -775,6 +824,9 @@ packages:
   shiki@2.5.0:
     resolution: {integrity: sha512-mI//trrsaiCIPsja5CNfsyNOqgAZUb6VpJA+340toL42UpzQlXpwRV9nch69X6gaUxrr9kaOOa6e3y3uAkGFxQ==}
 
+  slick@1.12.2:
+    resolution: {integrity: sha512-4qdtOGcBjral6YIBCWJ0ljFSKNLz9KkhbWtuGvUyRowl1kxfuE1x/Z/aJcaiilpb3do9bl5K7/1h9XC5wWpY/A==}
+
   source-map-js@1.2.1:
     resolution: {integrity: sha512-UXWMKhLOwVKb728IUtQPXxfYU+usdybtUrK/8uGE8CQMvrhOpwvzDBwj0QhSL7MQc7vIsISBG8VQ8+IDQxpfQA==}
     engines: {node: '>=0.10.0'}
@@ -786,6 +838,10 @@ packages:
     resolution: {integrity: sha512-1POYv7uv2gXoyGFpBCmpDVSNV74IfsWlDW216UPjbWufNf+bSU6GdbDsxdcxtfwb4xlI3yxzOTKClUosxARYrQ==}
     engines: {node: '>=0.10.0'}
 
+  speech-rule-engine@4.1.4:
+    resolution: {integrity: sha512-i/VCLG1fvRc95pMHRqG4aQNscv+9aIsqA2oI7ZQS51sTdUcDHYX6cpT8/tqZ+enjs1tKVwbRBWgxut9SWn+f9g==}
+    hasBin: true
+
   stringify-entities@4.0.4:
     resolution: {integrity: sha512-IwfBptatlO+QCJUo19AqvrPNqlVMpW9YEL2LIVY+Rpv2qsjCGxaDLNRgeGsQWJhfItebuJhsGSLjaBbNSQ+ieg==}
 
@@ -796,12 +852,14 @@ packages:
   tabbable@6.4.0:
     resolution: {integrity: sha512-05PUHKSNE8ou2dwIxTngl4EzcnsCDZGJ/iCLtDflR/SHB/ny14rXc+qU5P4mG9JkusiV7EivzY9Mhm55AzAvCg==}
 
+  tr46@0.0.3:
+    resolution: {integrity: sha512-N3WMsuqV66lT30CrXNbEjx4GEwlow3v6rr4mCcv6prnfwhS01rkgyFdjPNBYd9br7LpXV1+Emh01fHnq2Gdgrw==}
+
   trim-lines@3.0.1:
     resolution: {integrity: sha512-kRj8B+YHZCc9kQYdWfJB2/oUl9rA99qbowYYBtr4ui4mZyAQ2JpvVBd/6U2YloATfqBhBTSMhTpgBHtU0Mf3Rg==}
 
-  type-fest@4.41.0:
-    resolution: {integrity: sha512-TeTSQ6H5YHvpqVwBRcnLDCBnDOHWYu7IvGbHT6N8AOymcr9PJGjc1GTtiWZTYg0NCgYwvnYWEkVChQAr9bjfwA==}
-    engines: {node: '>=16'}
+  tslib@2.8.1:
+    resolution: {integrity: sha512-oJFu94HQb+KVduSUQL7wnpmqnfmLsOA/nAh6b6EH0wCEoK0/mPeXU6c3wKDV83MkOuHPRHtSXKKU99IBazS/2w==}
 
   unist-util-is@6.0.1:
     resolution: {integrity: sha512-LsiILbtBETkDz8I9p1dQ0uyRUWuaQzd/cuEeS1hoRSyW5E5XGmTzlwY1OrNzzakGowI9Dr/I8HVaw4hTtnxy8g==}
@@ -818,6 +876,10 @@ packages:
   unist-util-visit@5.1.0:
     resolution: {integrity: sha512-m+vIdyeCOpdr/QeQCu2EzxX/ohgS8KbnPDgFni4dQsfSCtpz8UqDyY5GjRru8PDKuYn7Fq19j1CQ+nJSsGKOzg==}
 
+  valid-data-url@3.0.1:
+    resolution: {integrity: sha512-jOWVmzVceKlVVdwjNSenT4PbGghU0SBIizAev8ofZVgivk/TVHXSbNL8LP6M3spZvkR9/QolkyJavGSX5Cs0UA==}
+    engines: {node: '>=10'}
+
   vfile-message@4.0.3:
     resolution: {integrity: sha512-QTHzsGd1EhbZs4AsQ20JX1rC3cOlt/IWJruk893DfLRr57lcnOeMaWG4K0JrRta4mIJZKth2Au3mM3u03/JWKw==}
 
@@ -875,6 +937,19 @@ packages:
       typescript:
         optional: true
 
+  web-resource-inliner@6.0.1:
+    resolution: {integrity: sha512-kfqDxt5dTB1JhqsCUQVFDj0rmY+4HLwGQIsLPbyrsN9y9WV/1oFDSx3BQ4GfCv9X+jVeQ7rouTqwK53rA/7t8A==}
+    engines: {node: '>=10.0.0'}
+
+  webidl-conversions@3.0.1:
+    resolution: {integrity: sha512-2JAn3z8AR6rjK8Sm8orRC0h/bcl/DqL7tRPdGZ4I1CjdF+EaMLmYxBHyXuKL849eucPFhvBoxMsflfOb8kxaeQ==}
+
+  whatwg-url@5.0.0:
+    resolution: {integrity: sha512-saE57nupxk6v3HY35+jzBwYa0rKSy0XR8JSxZPwgLr7ys0IBzhGviA1/TUGJLmSVqs8pb9AnvICXEuOHLprYTw==}
+
+  wicked-good-xpath@1.3.0:
+    resolution: {integrity: sha512-Gd9+TUn5nXdwj/hFsPVx5cuHHiF5Bwuc30jZ4+ronF1qHK5O7HD0sgmXWSEgwKquT3ClLoKPVbO6qGwVwLzvAw==}
+
   zwitch@2.0.4:
     resolution: {integrity: sha512-bXE4cR/kVZhKZX/RjPEflHaKVhUVl85noU3v6b8apfQEc1x4A+zBxjZ4lN8LqGd6WZ3dl98pY4o717VFmoPp+A==}
 
@@ -1181,43 +1256,6 @@ snapshots:
   '@rollup/rollup-win32-x64-msvc@4.60.4':
     optional: true
 
-  '@se-oss/deasync-darwin-arm64@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-darwin-x64@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-linux-arm64-gnu@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-linux-arm64-musl@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-linux-x64-gnu@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-linux-x64-musl@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-win32-arm64-msvc@1.0.1':
-    optional: true
-
-  '@se-oss/deasync-win32-x64-msvc@1.0.1':
-    optional: true
-
-  '@se-oss/deasync@1.0.1':
-    dependencies:
-      type-fest: 4.41.0
-    optionalDependencies:
-      '@se-oss/deasync-darwin-arm64': 1.0.1
-      '@se-oss/deasync-darwin-x64': 1.0.1
-      '@se-oss/deasync-linux-arm64-gnu': 1.0.1
-      '@se-oss/deasync-linux-arm64-musl': 1.0.1
-      '@se-oss/deasync-linux-x64-gnu': 1.0.1
-      '@se-oss/deasync-linux-x64-musl': 1.0.1
-      '@se-oss/deasync-win32-arm64-msvc': 1.0.1
-      '@se-oss/deasync-win32-x64-msvc': 1.0.1
-
   '@shikijs/core@2.5.0':
     dependencies:
       '@shikijs/engine-javascript': 2.5.0
@@ -1387,6 +1425,8 @@ snapshots:
     transitivePeerDependencies:
       - typescript
 
+  '@xmldom/xmldom@0.9.10': {}
+
   algoliasearch@5.52.1:
     dependencies:
       '@algolia/abtesting': 1.18.1
@@ -1404,20 +1444,56 @@ snapshots:
       '@algolia/requester-fetch': 5.52.1
       '@algolia/requester-node-http': 5.52.1
 
+  ansi-colors@4.1.3: {}
+
   birpc@2.9.0: {}
 
+  boolbase@1.0.0: {}
+
   ccount@2.0.1: {}
 
   character-entities-html4@2.1.0: {}
 
   character-entities-legacy@3.0.0: {}
 
+  cheerio-select@1.6.0:
+    dependencies:
+      css-select: 4.3.0
+      css-what: 6.2.2
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      domutils: 2.8.0
+
+  cheerio@1.0.0-rc.10:
+    dependencies:
+      cheerio-select: 1.6.0
+      dom-serializer: 1.4.1
+      domhandler: 4.3.1
+      htmlparser2: 6.1.0
+      parse5: 6.0.1
+      parse5-htmlparser2-tree-adapter: 6.0.1
+      tslib: 2.8.1
+
   comma-separated-tokens@2.0.3: {}
 
+  commander@13.1.0: {}
+
+  commander@6.2.1: {}
+
   copy-anything@4.0.5:
     dependencies:
       is-what: 5.5.0
 
+  css-select@4.3.0:
+    dependencies:
+      boolbase: 1.0.0
+      css-what: 6.2.2
+      domhandler: 4.3.1
+      domutils: 2.8.0
+      nth-check: 2.1.1
+
+  css-what@6.2.2: {}
+
   csstype@3.2.3: {}
 
   dequal@2.0.3: {}
@@ -1426,8 +1502,32 @@ snapshots:
     dependencies:
       dequal: 2.0.3
 
+  dom-serializer@1.4.1:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      entities: 2.2.0
+
+  domelementtype@2.3.0: {}
+
+  domhandler@3.3.0:
+    dependencies:
+      domelementtype: 2.3.0
+
+  domhandler@4.3.1:
+    dependencies:
+      domelementtype: 2.3.0
+
+  domutils@2.8.0:
+    dependencies:
+      dom-serializer: 1.4.1
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+
   emoji-regex-xs@1.0.0: {}
 
+  entities@2.2.0: {}
+
   entities@7.0.1: {}
 
   esbuild@0.21.5:
@@ -1456,6 +1556,10 @@ snapshots:
       '@esbuild/win32-ia32': 0.21.5
       '@esbuild/win32-x64': 0.21.5
 
+  escape-goat@3.0.0: {}
+
+  esm@3.2.25: {}
+
   estree-walker@2.0.2: {}
 
   focus-trap@7.8.0:
@@ -1487,20 +1591,51 @@ snapshots:
 
   html-void-elements@3.0.0: {}
 
+  htmlparser2@5.0.1:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 3.3.0
+      domutils: 2.8.0
+      entities: 2.2.0
+
+  htmlparser2@6.1.0:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      domutils: 2.8.0
+      entities: 2.2.0
+
   is-what@5.5.0: {}
 
+  juice@8.1.0:
+    dependencies:
+      cheerio: 1.0.0-rc.10
+      commander: 6.2.1
+      mensch: 0.3.4
+      slick: 1.12.2
+      web-resource-inliner: 6.0.1
+    transitivePeerDependencies:
+      - encoding
+
   magic-string@0.30.21:
     dependencies:
       '@jridgewell/sourcemap-codec': 1.5.5
 
   mark.js@8.11.1: {}
 
-  markdown-it-mathjax3@5.2.0:
+  markdown-it-mathjax3@4.3.2:
     dependencies:
-      '@se-oss/deasync': 1.0.1
-      mathxyjax3: 0.8.3
+      juice: 8.1.0
+      mathjax-full: 3.2.2
+    transitivePeerDependencies:
+      - encoding
 
-  mathxyjax3@0.8.3: {}
+  mathjax-full@3.2.2:
+    dependencies:
+      esm: 3.2.25
+      mhchemparser: 4.2.1
+      mj-context-menu: 0.6.1
+      speech-rule-engine: 4.1.4
 
   mdast-util-to-hast@13.2.1:
     dependencies:
@@ -1514,6 +1649,10 @@ snapshots:
       unist-util-visit: 5.1.0
       vfile: 6.0.3
 
+  mensch@0.3.4: {}
+
+  mhchemparser@4.2.1: {}
+
   micromark-util-character@2.1.1:
     dependencies:
       micromark-util-symbol: 2.0.1
@@ -1531,18 +1670,36 @@ snapshots:
 
   micromark-util-types@2.0.2: {}
 
+  mime@2.6.0: {}
+
   minisearch@7.2.0: {}
 
   mitt@3.0.1: {}
 
+  mj-context-menu@0.6.1: {}
+
   nanoid@3.3.12: {}
 
+  node-fetch@2.7.0:
+    dependencies:
+      whatwg-url: 5.0.0
+
+  nth-check@2.1.1:
+    dependencies:
+      boolbase: 1.0.0
+
   oniguruma-to-es@3.1.1:
     dependencies:
       emoji-regex-xs: 1.0.0
       regex: 6.1.0
       regex-recursion: 6.0.2
 
+  parse5-htmlparser2-tree-adapter@6.0.1:
+    dependencies:
+      parse5: 6.0.1
+
+  parse5@6.0.1: {}
+
   perfect-debounce@1.0.0: {}
 
   picocolors@1.1.1: {}
@@ -1613,12 +1770,20 @@ snapshots:
       '@shikijs/vscode-textmate': 10.0.2
       '@types/hast': 3.0.4
 
+  slick@1.12.2: {}
+
   source-map-js@1.2.1: {}
 
   space-separated-tokens@2.0.2: {}
 
   speakingurl@14.0.1: {}
 
+  speech-rule-engine@4.1.4:
+    dependencies:
+      '@xmldom/xmldom': 0.9.10
+      commander: 13.1.0
+      wicked-good-xpath: 1.3.0
+
   stringify-entities@4.0.4:
     dependencies:
       character-entities-html4: 2.1.0
@@ -1630,9 +1795,11 @@ snapshots:
 
   tabbable@6.4.0: {}
 
+  tr46@0.0.3: {}
+
   trim-lines@3.0.1: {}
 
-  type-fest@4.41.0: {}
+  tslib@2.8.1: {}
 
   unist-util-is@6.0.1:
     dependencies:
@@ -1657,6 +1824,8 @@ snapshots:
       unist-util-is: 6.0.1
       unist-util-visit-parents: 6.0.2
 
+  valid-data-url@3.0.1: {}
+
   vfile-message@4.0.3:
     dependencies:
       '@types/unist': 3.0.3
@@ -1675,7 +1844,7 @@ snapshots:
     optionalDependencies:
       fsevents: 2.3.3
 
-  vitepress@1.6.4(@algolia/client-search@5.52.1)(markdown-it-mathjax3@5.2.0)(postcss@8.5.15)(search-insights@2.17.3):
+  vitepress@1.6.4(@algolia/client-search@5.52.1)(markdown-it-mathjax3@4.3.2)(postcss@8.5.15)(search-insights@2.17.3):
     dependencies:
       '@docsearch/css': 3.8.2
       '@docsearch/js': 3.8.2(@algolia/client-search@5.52.1)(search-insights@2.17.3)
@@ -1696,7 +1865,7 @@ snapshots:
       vite: 5.4.21
       vue: 3.5.34
     optionalDependencies:
-      markdown-it-mathjax3: 5.2.0
+      markdown-it-mathjax3: 4.3.2
       postcss: 8.5.15
     transitivePeerDependencies:
       - '@algolia/client-search'
@@ -1733,4 +1902,24 @@ snapshots:
       '@vue/server-renderer': 3.5.34(vue@3.5.34)
       '@vue/shared': 3.5.34
 
+  web-resource-inliner@6.0.1:
+    dependencies:
+      ansi-colors: 4.1.3
+      escape-goat: 3.0.0
+      htmlparser2: 5.0.1
+      mime: 2.6.0
+      node-fetch: 2.7.0
+      valid-data-url: 3.0.1
+    transitivePeerDependencies:
+      - encoding
+
+  webidl-conversions@3.0.1: {}
+
+  whatwg-url@5.0.0:
+    dependencies:
+      tr46: 0.0.3
+      webidl-conversions: 3.0.1
+
+  wicked-good-xpath@1.3.0: {}
+
   zwitch@2.0.4: {}