### 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 (!p_item) {
		return;
	}
	NodePath np = p_item->get_metadata(0);
	Node *node = get_node(np);
	if (!p_filter.is_empty() && ((String)node->get_name()).findn(p_filter) != -1) {
		p_select_candidates.push_back(node);
	}
	TreeItem *c = p_item->get_first_child();
	while (c) {
		_pick_track_select_recursive(c, p_filter, p_select_candidates);
		c = c->get_next();
	}
}
void AnimationTrackEditor::_pick_track_filter_input(const Ref<InputEvent> &p_ie) {