### 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.
if (!clicking_on_name) {
		return Variant();
	}
	Dictionary drag_data;
	drag_data["type"] = "animation_track";
	String base_path = animation->track_get_path(track);
	base_path = base_path.get_slice(":", 0); 
	drag_data["group"] = base_path;
	drag_data["index"] = track;
	Button *tb = memnew(Button);
	tb->set_flat(true);
	tb->set_text(path_cache);
	tb->set_icon(icon_cache);
	set_drag_preview(tb);
	clicking_on_name = false;
	return drag_data;
}
bool AnimationTrackEdit::can_drop_data(const Point2 &p_point, const Variant &p_data) const {