Opening game mode switcher while spectating a mob with shader effect toggles the effect

The Bug:

Discovered while testing MC-46503. (Original reporter).

When you press F4 while spectating a mob with a shader effect it will toggle the shader effect on and off. But because the game mode switcher is opened using F3 + F4 you will also toggle that effect by opening the menu. This is inconsistent with other F3 shortcuts. For example F3+ D or F3 + A do not perform the action done by pressing these buttons, so you do not move, but this is not the case for F4.

Steps to Reproduce:

1. Spawn a Creeper, Enderman, Spider or Cave Spider.

2. Put yourself into spectator mode and spectate the mob by left clicking it.

3. Open the game mode switcher by pressing F3+ F4.
   ❌ The shader effect is toggled.

(You can move the selector to spectator mode before closing the menu to prevent you from stopping spectating the entity).