### 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.
ERR_FAIL_COND(!root);
	Node *node = get_node(p_path);
	ERR_FAIL_COND(!node);
	NodePath path_to = root->get_path_to(node, true);
	if (adding_track_type == Animation::TYPE_BLEND_SHAPE && !node->is_class("MeshInstance3D")) {
		EditorNode::get_singleton()->show_warning(TTR("Blend Shape tracks only apply to MeshInstance3D nodes."));
		return;
	}
	if ((adding_track_type == Animation::TYPE_POSITION_3D || adding_track_type == Animation::TYPE_ROTATION_3D || adding_track_type == Animation::TYPE_SCALE_3D) && !node->is_class("Node3D")) {
		EditorNode::get_singleton()->show_warning(TTR("Position/Rotation/Scale 3D tracks only apply to 3D-based nodes."));
		return;
	}
	switch (adding_track_type) {
		case Animation::TYPE_VALUE: {
			adding_track_path = path_to;
			prop_selector->set_type_filter(Vector<Variant::Type>());
			prop_selector->select_property_from_instance(node);
		} break;
		case Animation::TYPE_BLEND_SHAPE: {
			adding_track_path = path_to;
			Vector<Variant::Type> filter;
			filter.push_back(Variant::FLOAT);
			prop_selector->set_type_filter(filter);
			prop_selector->select_property_from_instance(node);
		} break;
		case Animation::TYPE_POSITION_3D:
		case Animation::TYPE_ROTATION_3D:
		case Animation::TYPE_SCALE_3D:
		case Animation::TYPE_METHOD: {
			EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();