feat: show equipped items on character sheet and public profile

apps/api/src/routes/profile.ts

@@ -75,6 +75,10 @@ profileRouter.get("/:discordId", async (context) => {
     return { id, name: title?.name ?? id };
   });
 
+  const equippedItems = (state?.equipment ?? [])
+    .filter((e) => e.owned && e.equipped)
+    .map(({ name, type, rarity, bonus }) => ({ name, type, rarity, bonus }));
+
   return context.json({
     characterName: player.characterName,
     pronouns: player.pronouns ?? "",
@@ -106,6 +110,7 @@ profileRouter.get("/:discordId", async (context) => {
     achievementsUnlocked,
     unlockedTitles,
     activeTitle: player.activeTitle ?? "",
+    equippedItems,
   });
 });