Stage 17 round 6 (#11/#12): quick-game variant plaques with rules, flag, and move-limit

Each auto-match variant is now a lobby-style plaque: the display name with a flag on the
right (🇺🇸 / 🇷🇺; Erudit uses a bundled minimalist USSR flag SVG) and a one-line rules
summary below — bag size, the ё rule, and bonus differences, sourced from the engine
rulesets (Scrabble 100 · Скрэббл 104, ё a letter · Эрудит 131, ё=е, no centre ×2, +15).
The move-time limit (24h auto-match clock) is shown under the buttons. e2e locks it.

(Multiple-words-per-move is the same for every variant, so it is described in About/landing
rather than repeated on each button.)

ui/src/lib/i18n/en.ts

@@ -45,6 +45,10 @@ export const en = {
   'new.erudit': 'Erudite',
   'new.find': 'Find a game',
   'new.searching': 'Looking for an opponent…',
+  'new.rulesEnglish': '100 tiles · bingo +50',
+  'new.rulesRussian': '104 tiles · ё is a letter · bingo +50',
+  'new.rulesErudit': '131 tiles · ё = е · no centre ×2 · bonus +15',
+  'new.moveLimit': 'Move time: {n} h 00 min',
 
   'game.bag': '{n} in the bag',
   'game.bagEmpty': 'Bag is empty',

ui/src/lib/i18n/ru.ts

@@ -46,6 +46,10 @@ export const ru: Record<MessageKey, string> = {
   'new.erudit': 'Эрудит',
   'new.find': 'Найти игру',
   'new.searching': 'Ищем соперника…',
+  'new.rulesEnglish': '100 фишек · бинго +50',
+  'new.rulesRussian': '104 фишки · ё — отдельная буква · бинго +50',
+  'new.rulesErudit': '131 фишка · ё = е · центр не удваивает · бонус +15',
+  'new.moveLimit': 'Время на ход: {n} ч. 00 мин.',
 
   'game.bag': '{n} в мешке',
   'game.bagEmpty': 'Мешок пуст',

ui/src/lib/variants.ts

@@ -28,6 +28,22 @@ export function variantNameKey(v: Variant): MessageKey {
   return ALL_VARIANTS.find((o) => o.id === v)?.label ?? 'new.english';
 }
 
+// VARIANT_RULES is the i18n key for each variant's one-line rules summary on the New Game
+// buttons (bag size, the ё rule, bonus differences), sourced from the engine rulesets.
+export const VARIANT_RULES: Record<Variant, MessageKey> = {
+  english: 'new.rulesEnglish',
+  russian_scrabble: 'new.rulesRussian',
+  erudit: 'new.rulesErudit',
+};
+
+// VARIANT_FLAG is the flag shown on a variant button: an emoji for the Scrabble variants;
+// Erudit uses the bundled USSR flag SVG (public/flag-ussr.svg), so its entry is empty.
+export const VARIANT_FLAG: Record<Variant, string> = {
+  english: '🇺🇸',
+  russian_scrabble: '🇷🇺',
+  erudit: '',
+};
+
 // VARIANT_LANGUAGE maps each variant to its game language. en -> English;
 // ru -> Russian + Эрудит.
 export const VARIANT_LANGUAGE: Record<Variant, 'en' | 'ru'> = { english: 'en', russian_scrabble: 'ru', erudit: 'ru' };