### 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
undo_redo->add_undo_method(animation.ptr(), "track_remove_key_at_time", p_track, p_ofs);
			undo_redo->commit_action();
		} break;
		case Animation::TYPE_BLEND_SHAPE:
		case Animation::TYPE_VALUE: {
			NodePath bp;
			Variant value;
			_find_hint_for_track(p_track, bp, &value);
			undo_redo->create_action(TTR("Add Track Key"));
			undo_redo->add_do_method(animation.ptr(), "track_insert_key", p_track, p_ofs, value);
			undo_redo->add_undo_method(this, "_clear_selection_for_anim", animation);
			undo_redo->add_undo_method(animation.ptr(), "track_remove_key_at_time", p_track, p_ofs);
			undo_redo->commit_action();
		} break;
		case Animation::TYPE_METHOD: {
			if (!root->has_node(animation->track_get_path(p_track))) {
				EditorNode::get_singleton()->show_warning(TTR("Track path is invalid, so can't add a method key."));
				return;
			}
			Node *base = root->get_node(animation->track_get_path(p_track));
			method_selector->select_method_from_instance(base);
			insert_key_from_track_call_ofs = p_ofs;
			insert_key_from_track_call_track = p_track;
		} break;
		case Animation::TYPE_BEZIER: {
			NodePath bp;
			Variant value;
			_find_hint_for_track(p_track, bp, &value);
			Array arr;
			arr.resize(5);