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

.github/workflows/deploy.yml

@@ -2,7 +2,7 @@ name: Deploy GaC-Srtool to GitHub Pages
 
 on:
   push:
-    branches: ["main"]
+    branches: ["main", "test-gay"]
   workflow_dispatch:
 
 permissions: