Inconsistent/Broken Behavior of PopupMenu Item Tooltips

### Tested versions

v4.2.1.stable.mono.official [b09f793f5]
v4.3.dev.custom_build [f28964805]

### System information

Godot v4.2.1.stable.mono - Windows 10.0.22631 - Vulkan (Forward+) - integrated AMD Radeon(TM) Graphics (Advanced Micro Devices, Inc.; 31.0.24002.92) - AMD Ryzen 7 PRO 6850U with Radeon Graphics (16 Threads)

### Issue description

Single Window Mode: Maybe ok, but `ui_cancel` will close the popup instead of hiding the tooltip which is the behavior everywhere else. For example, the escape key will not simultaneously clear a tool mode tooltip and deselect a node at the same time.

Multi Window Mode: `ui_cancel` does not hide the tooltip and the tooltip partially locks up the PopupMenu by not allowing you to use arrow keys to navigate, hover highlight is not functional.


### Steps to reproduce

Single Window Mode:

1. Show the tooltip in the above screenshot
2. Press `ui_cancel` (escape by default)

Mullti Window Mode:

1. Show the tooltip in the above screenshot
2. Press `ui_cancel` (escape by default)
3. Try to use arrow keys to navigate items
4. Try to hover highlight items

### Minimal reproduction project (MRP)

N/A

Start by reproducing the PopupMenu tooltip behavior in Godot 4.2.1 or a current build, testing ui_cancel and keyboard or hover navigation in both single- and multi-window modes. Trace the PopupMenu and tooltip interaction, then verify that ui_cancel and navigation behave consistently in both modes.

Written by the indexing model from the issue text.