### Godot version

4.0.stable

### System information

Windows 10, Forward+, GTX 1070 driver 528.49

### Issue description

When trying to edit the handle mode of a bezier cruve key from the inspector tab, the mode doesn't change. It works fine when right clicking on the key and setting the handle mode from here though. 

https://user-images.githubusercontent.com/24484962/222379540-29d71b6d-ff0c-4a21-9905-9750d0581fda.mp4



### Steps to reproduce

On an animation track using a bezier curve, select a key and try to change the handle mode from the inspector tab

### Minimal reproduction project

N/A
if (key_edit) {
		memdelete(key_edit);
	}
	if (multi_key_edit) {
		memdelete(multi_key_edit);
	}
}
void AnimationTrackKeyEditEditor::_time_edit_entered() {
	int key = animation->track_find_key(track, key_ofs, Animation::FIND_MODE_APPROX);
	if (key == -1) {
		return;
	}
	key_data_cache.time = animation->track_get_key_time(track, key);
	key_data_cache.transition = animation->track_get_key_transition(track, key);
	key_data_cache.value = animation->track_get_key_value(track, key);
}
void AnimationTrackKeyEditEditor::_time_edit_exited() {
	real_t new_time = spinner->get_value();
	if (use_fps) {
		real_t fps = animation->get_step();
		if (fps > 0) {
			fps = 1.0 / fps;
		}
		new_time /= fps;
	}
	if (Math::is_equal_approx(new_time, key_data_cache.time)) {
		return; 
	}
	int existing = animation->track_find_key(track, new_time, Animation::FIND_MODE_APPROX);
	EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();