### 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)

ERR_READ_THREAD_GUARD_V(false);
	if (!handle_input_locally) {
		ERR_FAIL_COND_V(!is_inside_tree(), false);
		const Viewport *vp = this;
		while (true) {
			if (Object::cast_to<Window>(vp)) {
				break;
			}
			if (!vp->get_parent()) {
				break;
			}
			vp = vp->get_parent()->get_viewport();
		}
		if (vp != this) {
			return vp->is_input_handled();
		}
	}
	return local_input_handled;
}
void Viewport::set_handle_input_locally(bool p_enable) {
	ERR_MAIN_THREAD_GUARD;
	handle_input_locally = p_enable;
}
bool Viewport::is_handling_input_locally() const {