### 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_MAIN_THREAD_GUARD;
	WARN_DEPRECATED_MSG(R"*(The "push_unhandled_input()" method is deprecated, use "push_input()" instead.)*");
	ERR_FAIL_COND(!is_inside_tree());
	ERR_FAIL_COND(p_event.is_null());
	local_input_handled = false;
	if (disable_input || !_can_consume_input_events()) {
		return;
	}
	if (Engine::get_singleton()->is_editor_hint() && get_tree()->get_edited_scene_root() && get_tree()->get_edited_scene_root()->is_ancestor_of(this)) {
		return;
	}
	Ref<InputEvent> ev;
	if (!p_local_coords) {
		ev = _make_input_local(p_event);
	} else {
		ev = p_event;
	}
	_push_unhandled_input_internal(ev);
}
#endif 
void Viewport::_push_unhandled_input_internal(const Ref<InputEvent> &p_event) {