### Godot version

4.2.rc1

### System information

win11

### Issue description
If you call animation.advance() after play() within a single process frame, the animation will not work properly.
The advance function does not work.
![image](https://github.com/godotengine/godot/assets/91177204/0edd6d63-9bfb-4860-8e14-1f0767bc4346)
The advance function does not work either.
![image](https://github.com/godotengine/godot/assets/91177204/fa5397d4-4615-44c9-aa7e-c2eae0e59a5f)
The advance function works, but 2 frames have already shown
![image](https://github.com/godotengine/godot/assets/91177204/c2df992a-ab64-43af-b9c7-89abb005b1c2)

This bug is not present in 4.1.3.stable.



### Steps to reproduce

create a scene with animation and run code like below.
```
func _ready():
	animation_player.play("new_animation")   
	animation_player.advance(5.0)
```
the advance function did nothing.

### Minimal reproduction project

[animation_play_advence.zip](https://github.com/godotengine/godot/files/13400233/animation_play_advence.zip)

String name = p_name;
	if (name == "playback/play") { 
		r_ret = get_current_animation();
	} else if (name.begins_with("next/")) {
		String which = name.get_slicec('/', 1);
		r_ret = animation_get_next(which);
	} else if (name == "blend_times") {
		Vector<BlendKey> keys;
		for (const KeyValue<BlendKey, double> &E : blend_times) {
			keys.ordered_insert(E.key);
		}
		Array array;
		for (int i = 0; i < keys.size(); i++) {
			array.push_back(keys[i].from);
			array.push_back(keys[i].to);
			array.push_back(blend_times.get(keys[i]));
		}
		r_ret = array;
#ifndef DISABLE_DEPRECATED
	} else if (name == "method_call_mode") {