[AnimationPlayer] seek() causes animation freeze for some duration

[DrParanoia]

Godot version

4.2-rc1

System information

Windows 11

Issue description

The issue does not exist on Godot 4.1.3, only in 4.2

When you call seek() on the AnimationPlayer, the animation does not update instantly and freezes for a brief moment.
So if you need to switch multiple animations in a short amount of time while also calling seek(), the animation will just stop.

Steps to reproduce

• Add a Sprite2D
• Set a spritesheet for the Sprite2D
• Add an AnimationPlayer
• Create a Property animation track and add some frames
• Loop the animation
• Create a different animation for the same sprite an loop it
• Switch between animations and call seek() when you do

Minimal reproduction project

The included project demonstrates the issue perfectly (I know that calling play() and seek() on each _process() is a bit overkill, but it does allow for a better demonstration). The same project works perfectly in Godot 4.1.3.

AnimationBug.zip