### 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)

ERR_MAIN_THREAD_GUARD;
	switch (p_what) {
		case NOTIFICATION_ENTER_TREE: {
			_update_viewport_path();
			if (get_parent()) {
				parent = get_parent()->get_viewport();
				RenderingServer::get_singleton()->viewport_set_parent_viewport(viewport, parent->get_viewport_rid());
			} else {
				parent = nullptr;
			}
			current_canvas = find_world_2d()->get_canvas();
			RenderingServer::get_singleton()->viewport_attach_canvas(viewport, current_canvas);
			RenderingServer::get_singleton()->viewport_set_canvas_transform(viewport, current_canvas, canvas_transform);
			RenderingServer::get_singleton()->viewport_set_canvas_cull_mask(viewport, canvas_cull_mask);
			_update_audio_listener_2d();
#ifndef _3D_DISABLED
			RenderingServer::get_singleton()->viewport_set_scenario(viewport, find_world_3d()->get_scenario());
			_update_audio_listener_3d();
#endif 
			add_to_group("_viewports");
			if (get_tree()->is_debugging_collisions_hint()) {
				PhysicsServer2D::get_singleton()->space_set_debug_contacts(find_world_2d()->get_space(), get_tree()->get_collision_debug_contact_count());
				contact_2d_debug = RenderingServer::get_singleton()->canvas_item_create();
				RenderingServer::get_singleton()->canvas_item_set_parent(contact_2d_debug, current_canvas);
#ifndef _3D_DISABLED
				PhysicsServer3D::get_singleton()->space_set_debug_contacts(find_world_3d()->get_space(), get_tree()->get_collision_debug_contact_count());