fix laggy tab bar update after closing a tab

refs: https://github.com/wez/wezterm/issues/4880

docs/changelog.md

@@ -27,6 +27,7 @@ As features stabilize some brief notes about them will accumulate here.
 #### Fixed
 * macOS: System LastResort font would be taken in preference to other fonts
   in some cases when trying to find the fallback for bold fonts. #4877
+* The fancy tab bar could take a few moments to update after closing a tab. #4880
 
 ### 20240127-113634-bbcac864
 

wezterm-gui/src/termwindow/mod.rs

@@ -1217,6 +1217,7 @@ impl TermWindow {
                 }
                 MuxNotification::WindowInvalidated(_) => {
                     window.invalidate();
+                    self.update_title_post_status();
                 }
                 MuxNotification::WindowRemoved(_window_id) => {
                     // Handled by frontend