Add YouTrack pull/push sync with project settings and time tracking.

Wire manual Y menu and CLI sync for issues and work items, persist
per-project credentials, and keep local edits until an explicit push.

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

internal/ticket/jsonstore.go

@@ -134,6 +134,8 @@ func (s *JSONStore) Update(t Ticket) error {
 	for i := range tickets {
 		if tickets[i].ID == t.ID {
 			t.CreatedAt = tickets[i].CreatedAt
+			// Always bump UpdatedAt on local edits so NeedsPush sees dirty tickets.
+			// Use MarkSynced after a successful remote sync to clear the dirty flag.
 			t.UpdatedAt = time.Now().UTC()
 			tickets[i] = t
 			found = true
@@ -146,6 +148,42 @@ func (s *JSONStore) Update(t Ticket) error {
 	return s.writeUnlocked(t.ProjectID, tickets)
 }
 
+// MarkSynced sets SyncedAt = UpdatedAt without changing UpdatedAt.
+func (s *JSONStore) MarkSynced(id string) error {
+	s.mu.Lock()
+	defer s.mu.Unlock()
+
+	if id == "" {
+		return fmt.Errorf("ticket id is required")
+	}
+
+	projects, err := os.ReadDir(filepath.Join(s.dataDir, "projects"))
+	if err != nil {
+		if os.IsNotExist(err) {
+			return fmt.Errorf("ticket %s: not found", id)
+		}
+		return fmt.Errorf("list projects: %w", err)
+	}
+
+	for _, p := range projects {
+		if !p.IsDir() {
+			continue
+		}
+		tickets, err := s.readUnlocked(p.Name())
+		if err != nil {
+			return err
+		}
+		for i := range tickets {
+			if tickets[i].ID != id {
+				continue
+			}
+			tickets[i].SyncedAt = tickets[i].UpdatedAt
+			return s.writeUnlocked(p.Name(), tickets)
+		}
+	}
+	return fmt.Errorf("ticket %s: not found", id)
+}
+
 // Move relocates a ticket to another project directory.
 func (s *JSONStore) Move(id, toProjectID string) (Ticket, error) {
 	s.mu.Lock()