F3 debug overlay remains visible behind pause menu and can persist to main menu (25w31a–25w32a)

In vanilla Minecraft Java Edition snapshots 25w31a and 25w32a, the F3 debug overlay does not hide when the game is paused.
Instead, it remains fully visible and continues to update behind the pause (ESC) menu.

In addition, after quitting to the title screen, the debug overlay sometimes persists on top of the main menu, still showing live data such as FPS, memory usage, and coordinates until the game is closed or the overlay is toggled off.

This issue is reproducible starting in snapshot 25w31a.
It does not occur in 1.21.8 stable.