feat(ui): offline-first native boot + lazy server-guest reconciliation

Native (Capacitor) cold boot with no cached session now enters as a
device-local guest in auto-offline mode and lands straight in the lobby
(never /login), so the app opens and plays local vs_ai / hotseat with the
APK's bundled dictionaries and zero network. When the gateway becomes
reachable, reconcileServerGuest silently mints + adopts a server guest and
clears the auto-offline, lighting up online features. Web / PWA / Telegram /
VK are byte-for-byte unchanged.

- transport: exec gains { silent, allowOffline } so background reconciliation
  bypasses the offline kill switch (like the reachability probe) and never
  raises the terminal update overlay (a too-old client stays a local guest);
  new authGuestSilent on the client interface, the real transport and the mock.
- app: native no-session boot branch; reconcileServerGuest fired at boot, by
  the recovery poll and the online event; the poll routes the session-less
  guest through reconciliation, since checkReachable needs a token it lacks.
- native: initNativeShell tolerates a missing Capacitor bridge.
- e2e: new native.spec.ts (inject window.androidBridge; boot -> offline lobby,
  local vs_ai move, reconcile -> online, hotseat start) + playwright.config
  bundles the dawgs into dist-e2e/dict for the loader's bundled tier.

.claude/CLAUDE.md

@@ -114,10 +114,20 @@ The native Android app (`ANDROID_PLAN.md`) is a Capacitor 8 wrapper of the `ui`
   eyeball per-variant tiles.
 - **Durable Playwright MCP servers** (chromium + webkit) exist for UI inspection (there's a
   plugin-config gotcha in wiring them).
-- **The `playwright test` runner can't fetch browsers in this sandbox** — `playwright install` dies
+- **The `playwright test` runner can't *fetch* browsers in this sandbox** — `playwright install` dies
   with `EBADF` against the Playwright CDN (blocked network), even with the sandbox off. Run the e2e in
   **CI** (the `ui` job installs chromium+webkit), or drive a state live through the **Playwright MCP**
-  browser against a local `vite --mode mock` server for visual verification.
+  browser against a local `vite --mode mock` server for visual verification. **But if chromium/webkit are
+  already cached** in `~/Library/Caches/ms-playwright/`, `playwright test` runs locally fine (only the CDN
+  fetch is blocked) — the native offline-first e2e was run green locally this way (chromium + webkit),
+  its dawgs from the sibling `../../scrabble-solver/dawg` via the webServer's `bundle-dicts.mjs` fallback.
+- **A native (Capacitor) e2e must inject `window.androidBridge`, NOT `window.Capacitor.getPlatform`.**
+  `@capacitor/core` (pulled in during boot by `initNativeShell`'s dynamic `@capacitor/app` import)
+  **replaces** any pre-set `window.Capacitor` with its own shim and derives the platform from
+  `window.androidBridge` (android) / `window.webkit.messageHandlers` (ios) — so a bare injected
+  `Capacitor.getPlatform: () => 'android'` is clobbered to `web` and the boot falls to `/login`. Inject
+  `window.androidBridge = { postMessage(){} }` in an `addInitScript` (see `e2e/native.spec.ts` `simulateNative`);
+  `initNativeShell` is written to tolerate the stub bridge (`try/catch` round the `@capacitor/app` addListener).
 - **`docker run -p ...` boot tests fail from the shell** (published ports unreachable in this env).
   Use **testcontainers** for container-backed tests.
 - **Distroless images run as UID 65532 (nonroot).** Bind-mounted TLS keys must be **0644** (not 0600)