### 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
params.push_back(arg);
				}
			}
			d["args"] = params;
			EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();
			undo_redo->create_action(TTR("Add Method Track Key"));
			undo_redo->add_do_method(animation.ptr(), "track_insert_key", insert_key_from_track_call_track, insert_key_from_track_call_ofs, d);
			undo_redo->add_undo_method(animation.ptr(), "track_remove_key_at_time", insert_key_from_track_call_track, insert_key_from_track_call_ofs);
			undo_redo->commit_action();
			return;
		}
	}
	EditorNode::get_singleton()->show_warning(TTR("Method not found in object:") + " " + p_method);
}
void AnimationTrackEditor::_key_selected(int p_key, bool p_single, int p_track) {
	ERR_FAIL_INDEX(p_track, animation->get_track_count());
	ERR_FAIL_INDEX(p_key, animation->track_get_key_count(p_track));
	SelectedKey sk;
	sk.key = p_key;
	sk.track = p_track;
	if (p_single) {
		_clear_selection();
	}
	KeyInfo ki;
	ki.pos = animation->track_get_key_time(p_track, p_key);
	selection[sk] = ki;
	_redraw_tracks();
	_update_key_edit();
}
void AnimationTrackEditor::_key_deselected(int p_key, int p_track) {