Right click menu disappears from custom browser dock when docking

Operating System Info

Ubuntu 24.04

Other OS

No response

OBS Studio Version

31.0.0-beta3

OBS Studio Version (Other)

Also happens pre-beta

OBS Studio Log URL

https://obsproject.com/logs/WnuqzcXmLLsSH3JY

OBS Studio Crash Log URL

No response

Expected Behavior

Right clicking a custom browser dock should always bring up the right click menu.

Current Behavior

After docking the dock into the main window, and until it is restarted, right clicking the dock doesn't cause anything to visibly happen.
Undocking doesn't restore the behaviour, only restarting obs.

Steps to Reproduce

1. Create a new custom browser dock
2. Verify that right clicking it brings up the relevant menu
3. Dock it in the main window
4. Verify that right clicking it does nothing
   ...

Anything else we should know?

• alt-tabbing back and forth causes the same
• Right clicking through the remote debugging devtools does correctly spawn the menu

Start by reproducing the issue in OBS Studio 31.0.0-beta3 on Ubuntu 24.04 using the listed steps, and review the provided OBS log. Compare right-click behavior before and after docking, after alt-tabbing, and through remote debugging devtools. Done means the context menu appears normally after docking and alt-tabbing without requiring an OBS restart.