feat: add transcendence and apotheosis badges to public profile

- PublicProfileResponse now includes transcendenceCount and apotheosisCount
- ProfileSettings adds showTranscendence and showApotheosis toggles (both on by default)
- Profile page displays ✨ Apotheosis, 🌌 Transcendence, and ⭐ Prestige badges in that order
- EditProfileModal exposes the two new visibility toggles under Current Run settings
- Styled to match the resource bar badges (gold for apotheosis, purple for transcendence)

apps/web/src/components/game/EditProfileModal.tsx

@@ -17,6 +17,8 @@ interface StatToggle {
 const CURRENT_RUN_TOGGLES: StatToggle[] = [
   { key: "showCurrentGold", label: "Gold Earned This Run", icon: "🪙" },
   { key: "showCurrentClicks", label: "Clicks This Run", icon: "👆" },
+  { key: "showApotheosis", label: "Apotheosis Badge", icon: "✨" },
+  { key: "showTranscendence", label: "Transcendence Badge", icon: "🌌" },
   { key: "showPrestige", label: "Prestige Level", icon: "⭐" },
   { key: "showBossesDefeated", label: "Bosses Defeated", icon: "💀" },
   { key: "showQuestsCompleted", label: "Quests Completed", icon: "📜" },