### 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)

bool stopped = false;
	Ref<InputEvent> ev = p_input;
	
	bool is_pointer_event = Ref<InputEventMouse>(p_input).is_valid() || Ref<InputEventScreenDrag>(p_input).is_valid() || Ref<InputEventScreenTouch>(p_input).is_valid();
	Ref<InputEventMouseButton> mb = p_input;
	bool is_scroll_event = mb.is_valid() &&
			(mb->get_button_index() == MouseButton::WHEEL_DOWN ||
					mb->get_button_index() == MouseButton::WHEEL_UP ||
					mb->get_button_index() == MouseButton::WHEEL_LEFT ||
					mb->get_button_index() == MouseButton::WHEEL_RIGHT);
	CanvasItem *ci = p_control;
	while (ci) {
		Control *control = Object::cast_to<Control>(ci);