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/i18n.js

@@ -399,6 +399,15 @@ export const TRANSLATIONS = {
     "consoleCopyLog": "📋 คัดลอก",
     "consoleClearLog": "🗑️ ล้าง Log",
     "consoleQuickTitle": "⚡ คำสั่งด่วนที่ใช้บ่อย (Quick Commands)",
+    "quickCmdHeal": "💖 /heal",
+    "quickCmdJades": "💎 +100k Jades",
+    "quickCmdCredits": "💰 +10M Credits",
+    "quickCmdMax": "⚡ /max",
+    "quickCmdExpress": "🚂 รถไฟ Express",
+    "quickCmdClearLineup": "🧹 เคลียร์ทีม",
+    "quickCmdHelp": "❓ /help",
+    "consoleReady": "GaC Server Console พร้อมใช้งาน (พิมพ์ /help เพื่อดูคำสั่งทั้งหมด)",
+    "filterSamePath": "สายเดียวกัน",
     "consolePlaceholder": "พิมพ์คำสั่ง GM เช่น /heal, /max, /teleport 20411, /give 102 1000...",
     "consoleSend": "ส่งคำสั่ง",
     "consoleHistoryHint": "💡 รองรับกด ↑ ↓ เพื่อเลือกประวัติคำสั่งก่อนหน้า",
@@ -749,6 +758,15 @@ export const TRANSLATIONS = {
     "consoleCopyLog": "📋 Copy Log",
     "consoleClearLog": "🗑️ Clear Log",
     "consoleQuickTitle": "⚡ Quick Commands",
+    "quickCmdHeal": "💖 /heal",
+    "quickCmdJades": "💎 +100k Jades",
+    "quickCmdCredits": "💰 +10M Credits",
+    "quickCmdMax": "⚡ /max",
+    "quickCmdExpress": "🚂 Astral Express",
+    "quickCmdClearLineup": "🧹 Clear Lineup",
+    "quickCmdHelp": "❓ /help",
+    "consoleReady": "GaC Server Console is ready (type /help for commands)",
+    "filterSamePath": "Same Path",
     "consolePlaceholder": "Type GM command e.g. /heal, /max, /teleport 20411, /give 102 1000...",
     "consoleSend": "Dispatch",
     "consoleHistoryHint": "💡 Press ↑ / ↓ to navigate command history",