### 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)

gui.mouse_focus_mask.set_flag(mouse_button_to_mask(mb->get_button_index()));
				if (mb->get_button_index() == MouseButton::LEFT) {
					gui.drag_accum = Vector2();
					gui.drag_attempted = false;
				}
			}
			DEV_ASSERT(gui.mouse_focus);
			mb = mb->xformed_by(Transform2D()); 
			Point2 pos = gui.mouse_focus->get_global_transform_with_canvas().affine_inverse().xform(mpos);
			mb->set_position(pos);
#ifdef DEBUG_ENABLED
			if (EngineDebugger::get_singleton()) {
				Array arr;
				arr.push_back(gui.mouse_focus->get_path());
				arr.push_back(gui.mouse_focus->get_class());
				EngineDebugger::get_singleton()->send_message("scene:click_ctrl", arr);
			}
#endif
			if (mb->get_button_index() == MouseButton::LEFT) { 
				CanvasItem *ci = gui.mouse_focus;
				while (ci) {
					Control *control = Object::cast_to<Control>(ci);
					if (control) {
						if (control->get_focus_mode() != Control::FOCUS_NONE) {
							if (control != gui.key_focus) {
								control->grab_focus();
							}
							break;
						}
						if (control->data.mouse_filter == Control::MOUSE_FILTER_STOP) {