### 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)

if (over) {
			bool stopped = false;
			if (over->can_process()) {
				Transform2D localizer = over->get_global_transform_with_canvas().affine_inverse();
				Size2 pos = localizer.xform(drag_event->get_position());
				Vector2 velocity = localizer.basis_xform(drag_event->get_velocity());
				Vector2 rel = localizer.basis_xform(drag_event->get_relative());
				drag_event = drag_event->xformed_by(Transform2D()); 
				drag_event->set_velocity(velocity);
				drag_event->set_relative(rel);
				drag_event->set_position(pos);
				stopped = _gui_call_input(over, drag_event);
			}
			if (stopped) {
				set_input_as_handled();
			}
			return;
		}
	}
	if (mm.is_null() && mb.is_null() && p_event->is_action_type()) {
		if (gui.dragging && p_event->is_action_pressed("ui_cancel") && Input::get_singleton()->is_action_just_pressed("ui_cancel")) {
			_perform_drop();
			set_input_as_handled();
			return;
		}
		if (gui.key_focus && !gui.key_focus->is_visible_in_tree()) {
			gui.key_focus->release_focus();
		}
		if (gui.key_focus) {
			gui.key_event_accepted = false;