### 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
EditorNode::get_singleton()->show_warning(
			TTR("Some AnimationPlayerEditor's options are disabled since this is the dummy AnimationPlayer for preview.\n\nThe dummy player is forced active, non-deterministic and doesn't have the root motion track. Furthermore, the original node is inactive temporary."));
}
void AnimationTrackEditor::_show_inactive_player_warning() {
	EditorNode::get_singleton()->show_warning(
			TTR("AnimationPlayer is inactive. The playback will not be processed."));
}
void AnimationTrackEditor::_select_all_tracks_for_copy() {
	TreeItem *track = track_copy_select->get_root()->get_first_child();
	if (!track) {
		return;
	}
	bool all_selected = true;
	while (track) {
		if (!track->is_checked(0)) {
			all_selected = false;
		}
		track = track->get_next();
	}
	track = track_copy_select->get_root()->get_first_child();
	while (track) {
		track->set_checked(0, !all_selected);
		track = track->get_next();
	}
}
void AnimationTrackEditor::_bind_methods() {