### Godot version

v4.0.3.stable.official [5222a99f5]

### System information

Debian 11 | Vulkan API 1.2.175 - Forward+ - Using Vulkan Device #0: NVIDIA - NVIDIA GeForce GTX 1080 | nvidia-driver 470.182.03-1 from Debian 11 | Intel(R) Core(TM) i7-8700K CPU @ 3.70GHz

### Issue description

Re-opening a scene in the editor that contains a `TextureRect` with a `ViewportTexture` and is `preload`ed in an unopened script produces the following error repeatedly and rapidly (about 200 times per second) until either the scene is closed or the script is also opened.

>ERROR: Texture (binding: 0) should provide one ID referencing a texture (IDs provided: 0).
>   at: uniform_set_create (drivers/vulkan/rendering_device_vulkan.cpp:5501)
>ERROR: Condition "!uniform_set" is true.
>   at: draw_list_bind_uniform_set (drivers/vulkan/rendering_device_vulkan.cpp:7191)
>ERROR: Uniforms were never supplied for set (3) at the time of drawing, which are required by the pipeline
>   at: draw_list_draw (drivers/vulkan/rendering_device_vulkan.cpp:7346)

### Steps to reproduce

1. Open the attached reproduction project
2. Open demo.tscn
3. Close demo.tscn
4. Open demo.tscn again

Do **not** open other.gd beforehand. Doing so will stop the problem from occurring.

### Minimal reproduction project

[reproduce_uniform_not_set.zip](https://github.com/godotengine/godot/files/11681977/reproduce_uniform_not_set.zip)

#include "scene/resources/mesh.h"
#include "scene/resources/text_line.h"
#include "scene/resources/world_2d.h"
#include "scene/scene_string_names.h"
#include "servers/audio_server.h"
#include "servers/rendering/rendering_server_globals.h"
void ViewportTexture::setup_local_to_scene() {
	
	if (!vp_changed) {
		return;
	}
	if (vp_pending) {
		return;
	}
	Node *loc_scene = get_local_scene();
	if (!loc_scene) {
		return;
	}
	if (vp) {
		vp->viewport_textures.erase(this);
		vp = nullptr;
	}
	if (loc_scene->is_ready()) {
		_setup_local_to_scene(loc_scene);
	} else {
		loc_scene->connect(SNAME("ready"), callable_mp(this, &ViewportTexture::_setup_local_to_scene).bind(loc_scene), CONNECT_ONE_SHOT);
		vp_pending = true;
	}
}
void ViewportTexture::set_viewport_path_in_scene(const NodePath &p_path) {