fix(workspace-state): keep git-presence flag and branch poll in sync with runtime state

Reconcile the cached is_git_repo flag against the filesystem on every watch flush so `git init` or deletion of .git is reflected immediately: sync the stored flag, drop stale git_snapshot data when the repo goes away, emit a meta delta when presence flips without any data change, and mark the event as requires_resync so the frontend re-fetches the snapshot to pick up the new flag.

Replace the title-bar branch polling interval with a self-adjusting setTimeout chain that backs off to 60s when get_git_branch returns null or throws and drops back to 10s once a branch is detected, so branches created externally recover within one slow tick without hammering the backend on non-git folders.

src-tauri/src/workspace_state/mod.rs

@@ -678,6 +678,15 @@ async fn flush_watch_batch(
             Err(_) => return,
         };
 
+        // Keep the cached git-presence flag in sync with the filesystem.
+        // When it flips, the snapshot response carries the new value, and the
+        // emitted event carries `requires_resync=true` so the frontend re-fetches
+        // to align its isGitRepo view.
+        let git_presence_changed = guard.is_git_repo != is_git;
+        if git_presence_changed {
+            guard.is_git_repo = is_git;
+        }
+
         if let Some(tree) = refreshed_tree {
             if tree != guard.tree_snapshot {
                 payload.push(WorkspaceDelta::TreeReplace { nodes: tree });
@@ -689,6 +698,22 @@ async fn flush_watch_batch(
                     entries: git_snapshot,
                 });
             }
+        } else if !is_git && !guard.git_snapshot.is_empty() {
+            // .git vanished (or was never there) and we still hold stale git
+            // data — emit an empty GitReplace so the UI stops showing tracked
+            // files that no longer exist from git's perspective.
+            payload.push(WorkspaceDelta::GitReplace {
+                entries: Vec::new(),
+            });
+        }
+
+        // Presence flip with no data delta (e.g. `git init` in a clean folder)
+        // still needs to wake the frontend, otherwise the snapshot flag never
+        // propagates until an unrelated change happens.
+        if git_presence_changed && payload.is_empty() {
+            payload.push(WorkspaceDelta::Meta {
+                reason: format!("is_git_repo_changed:{is_git}"),
+            });
         }
 
         if payload.is_empty() {
@@ -709,7 +734,7 @@ async fn flush_watch_batch(
             "meta".to_string()
         };
 
-        guard.append_event(kind, payload, false)
+        guard.append_event(kind, payload, git_presence_changed)
     };
 
     emit_event(emitter, "folder://workspace-state-event", event);

src/components/layout/folder-title-bar.tsx

@@ -82,7 +82,7 @@ export function FolderTitleBar() {
   const [branch, setBranch] = useState<string | null>(null)
   const [searchOpen, setSearchOpen] = useState(false)
   const [browserOpen, setBrowserOpen] = useState(false)
-  const intervalRef = useRef<ReturnType<typeof setInterval> | undefined>(
+  const pollTimerRef = useRef<ReturnType<typeof setTimeout> | undefined>(
     undefined
   )
 
@@ -116,36 +116,41 @@ export function FolderTitleBar() {
     if (!folderPath) return
     let cancelled = false
 
+    // 10s when we have a branch, 60s when we don't. The slow poll still
+    // discovers a branch created externally (e.g. `git init` in a terminal)
+    // without hammering the backend when there is nothing to find.
+    const POLL_FAST_MS = 10_000
+    const POLL_SLOW_MS = 60_000
+
     const clearPoll = () => {
-      if (intervalRef.current !== undefined) {
-        clearInterval(intervalRef.current)
-        intervalRef.current = undefined
+      if (pollTimerRef.current !== undefined) {
+        clearTimeout(pollTimerRef.current)
+        pollTimerRef.current = undefined
       }
     }
 
-    const armPoll = () => {
-      if (intervalRef.current !== undefined) return
-      intervalRef.current = setInterval(() => {
+    const scheduleNext = (delayMs: number) => {
+      clearPoll()
+      pollTimerRef.current = setTimeout(() => {
+        pollTimerRef.current = undefined
         void doFetch()
-      }, 10_000)
+      }, delayMs)
     }
 
     async function doFetch() {
       if (document.visibilityState !== "visible") return
 
+      let nextDelayMs = POLL_FAST_MS
       try {
         const b = await getGitBranch(folderPath)
         if (cancelled) return
         setBranch(b)
-        if (b === null) {
-          clearPoll()
-        } else {
-          armPoll()
-        }
+        if (b === null) nextDelayMs = POLL_SLOW_MS
       } catch {
         if (!cancelled) setBranch(null)
-        clearPoll()
+        nextDelayMs = POLL_SLOW_MS
       }
+      if (!cancelled) scheduleNext(nextDelayMs)
     }
 
     function handleVisibilityChange() {