### Godot version

4.0.dev

### System information

win11，core i7 13700,  GTX4090

### Issue description

Just look at this gif.

![screenshots](https://user-images.githubusercontent.com/1620585/225354749-6ea17059-95b2-45e0-9765-8505e92726eb.gif)

It seems that it was block by Static Type Checking.

![image](https://user-images.githubusercontent.com/1620585/225362874-507ff0ec-c6d8-4a25-9a16-89db1885ad02.png)

If it's right.

Why it doesn't just disable other option except for String and StringName?

### Steps to reproduce

1. first select string type
2. input a text
3. change type
4. change back to string  -- it don't work
5. change to stringname -- it works
6. change back to string -- it works

### Minimal reproduction project

I think it don't need reproduction project.
TreeItem *root_item = pick_track->get_scene_tree()->get_scene_tree()->get_root();
	Vector<Node *> select_candidates;
	Node *to_select = nullptr;
	String filter = pick_track->get_filter_line_edit()->get_text();
	_pick_track_select_recursive(root_item, filter, select_candidates);
	if (!select_candidates.is_empty()) {
		for (int i = 0; i < select_candidates.size(); ++i) {
			Node *candidate = select_candidates[i];
			if (((String)candidate->get_name()).to_lower().begins_with(filter.to_lower())) {
				to_select = candidate;
				break;
			}
		}
		if (!to_select) {
			to_select = select_candidates[0];
		}
	}
	pick_track->get_scene_tree()->set_selected(to_select);
}
void AnimationTrackEditor::_pick_track_select_recursive(TreeItem *p_item, const String &p_filter, Vector<Node *> &p_select_candidates) {