fix(i18n): fix language-independent synergy/build logic, add deploy on test-gay, and sticky nav tabs

- Fix Team Synergy calculation to use normalized canonical elements and paths across all 13 languages
- Fix showcase card, optimal relic builds, and LC dropdown path filters in non-English languages
- Add data-i18n and translations for quick commands and GM console greeting
- Update filter dropdown option text on language switch
- Add test-gay branch to GitHub Pages deployment workflow triggers
- Make nav-tabs sticky under header so menu navigation is always accessible while scrolling

js/equipment-data.js

@@ -4322,14 +4322,16 @@ export function getLightconeInfo(lcId, langOverride = null) {
     return {
       name: `Lightcone ${lcId}`,
       rarity: 4,
-      path: translatePath("Unknown")
+      path: translatePath("Unknown"),
+      rawPath: "Unknown"
     };
   }
   const localizedName = meta.names?.[lang] || meta.names?.th || meta.names?.en || `Lightcone ${lcId}`;
   return {
     name: localizedName,
     rarity: meta.rarity,
-    path: translatePath(meta.path)
+    path: translatePath(meta.path),
+    rawPath: meta.path
   };
 }