feat: consume worktree field from status line hook events

Parse structured WorktreeInfo (name, path, branch, original_repo_directory)
from WorktreeCreate/Remove hook events and emit a dedicated claude:worktree
event. Store per-conversation worktree state and display an emerald branch
badge in the status bar so users can see at a glance which worktree and
branch each session is running on.

Closes #206

src/lib/tauri.ts

@@ -13,6 +13,7 @@ import type {
 } from "$lib/types/messages";
 import type { CharacterState } from "$lib/types/states";
 import type { AgentStartPayload, AgentEndPayload } from "$lib/types/agents";
+import type { WorktreeEvent } from "$lib/types/worktree";
 import { agentStore } from "$lib/stores/agents";
 import { todos } from "$lib/stores/todos";
 import {
@@ -563,6 +564,18 @@ export async function initializeTauriListeners() {
   });
   unlisteners.push(agentEndUnlisten);
 
+  const worktreeUnlisten = await listen<WorktreeEvent>("claude:worktree", (event) => {
+    const { conversation_id, event_type, worktree } = event.payload;
+    const targetConversationId = conversation_id || get(claudeStore.activeConversationId);
+    if (targetConversationId) {
+      claudeStore.setWorktreeInfo(
+        targetConversationId,
+        event_type === "create" && worktree ? worktree : null
+      );
+    }
+  });
+  unlisteners.push(worktreeUnlisten);
+
   const questionUnlisten = await listen<UserQuestionEvent>("claude:question", (event) => {
     const questionEvent = event.payload;