fix(desktop): make inbox category filters clickable

Co-authored-by: Cursor <cursoragent@cursor.com>

desktop/src/features/home/lib/inbox.ts

@@ -250,10 +250,22 @@ export function buildInboxItems({
   }
 
   const feedItems = [
-    ...feed.feed.mentions,
-    ...feed.feed.needsAction,
-    ...feed.feed.activity,
-    ...feed.feed.agentActivity,
+    ...feed.feed.mentions.map((item) => ({
+      ...item,
+      category: "mention" as const,
+    })),
+    ...feed.feed.needsAction.map((item) => ({
+      ...item,
+      category: "needs_action" as const,
+    })),
+    ...feed.feed.activity.map((item) => ({
+      ...item,
+      category: "activity" as const,
+    })),
+    ...feed.feed.agentActivity.map((item) => ({
+      ...item,
+      category: "agent_activity" as const,
+    })),
   ];
 
   const threadGroups = new Map<

desktop/src/features/home/ui/InboxListPane.tsx

@@ -37,10 +37,7 @@ export function InboxListPane({
 }: InboxListPaneProps) {
   return (
     <section className="flex min-h-0 min-w-0 flex-col overflow-hidden border-r border-border/70 bg-background">
-      <div
-        className="border-b border-border/70 px-4 pb-4 pt-3"
-        data-tauri-drag-region
-      >
+      <div className="border-b border-border/70 px-4 pb-4 pt-3">
         <div className="relative">
           <Search className="pointer-events-none absolute left-3 top-1/2 h-4 w-4 -translate-y-1/2 text-muted-foreground" />
           <Input