### Godot version

v4.1.dev.custom_build [18112ba36]

### System information

Linux Mint 21.1, NVIDIA GeForce GTX 1050 Ti,  Vulkan API 1.3.205

### Issue description

This is a regression from #64388. 

Textures seem to be used differently in 2D and 3D. They are rendered using the `RID` in 3D, and changing the `viewport_path` will cause the `RID` to change.

https://github.com/godotengine/godot/assets/30386067/ad393fe8-50c1-4a89-870d-58d4e224bcc6


### Steps to reproduce

1. Download and import MRP.
2. Open 1.tscn, and try to switch the `viewport_path` of the `MeshInstance3D:mesh:material:albedo_texture` in the MeshInstance3D node.
3. After switching, the MeshInstance3D is rendered as white in the editor;
4. Close and then reopen 1.tscn.

### Minimal reproduction project

[ViewportTexture-change-viewport_path.zip](https://github.com/godotengine/godot/files/11509010/ViewportTexture-change-viewport_path.zip)

List<ObjectID> to_erase;
	for (const KeyValue<ObjectID, uint64_t> &E : physics_2d_mouseover) {
		if (!p_clean_all_frames && E.value == p_frame_reference) {
			continue;
		}
		Object *o = ObjectDB::get_instance(E.key);
		if (o) {
			CollisionObject2D *co = Object::cast_to<CollisionObject2D>(o);
			if (co && co->is_inside_tree()) {
				if (p_clean_all_frames && p_paused_only && co->can_process()) {
					continue;
				}
				co->_mouse_exit();
			}
		}
		to_erase.push_back(E.key);
	}
	while (to_erase.size()) {
		physics_2d_mouseover.erase(to_erase.front()->get());
		to_erase.pop_front();
	}
	
	List<Pair<ObjectID, int>> shapes_to_erase;
	for (KeyValue<Pair<ObjectID, int>, uint64_t> &E : physics_2d_shape_mouseover) {
		if (!p_clean_all_frames && E.value == p_frame_reference) {
			continue;
		}
		Object *o = ObjectDB::get_instance(E.key.first);
		if (o) {
			CollisionObject2D *co = Object::cast_to<CollisionObject2D>(o);