### 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)

if (Object::cast_to<InputEventKey>(*p_event) != nullptr || Object::cast_to<InputEventShortcut>(*p_event) != nullptr || Object::cast_to<InputEventJoypadButton>(*p_event) != nullptr) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(shortcut_input_group, SceneTree::CALL_INPUT_TYPE_SHORTCUT_INPUT, p_event, this);
	}
	
	if (!is_input_handled() && (Object::cast_to<InputEventKey>(*p_event) != nullptr)) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(unhandled_key_input_group, SceneTree::CALL_INPUT_TYPE_UNHANDLED_KEY_INPUT, p_event, this);
	}
	
	if (!is_input_handled()) {
		ERR_FAIL_COND(!is_inside_tree());
		get_tree()->_call_input_pause(unhandled_input_group, SceneTree::CALL_INPUT_TYPE_UNHANDLED_INPUT, p_event, this);
	}
	if (physics_object_picking && !is_input_handled()) {
		if (Input::get_singleton()->get_mouse_mode() != Input::MOUSE_MODE_CAPTURED &&
				(Object::cast_to<InputEventMouse>(*p_event) ||
						Object::cast_to<InputEventScreenDrag>(*p_event) ||
						Object::cast_to<InputEventScreenTouch>(*p_event)
								)) {
			physics_picking_events.push_back(p_event);
			set_input_as_handled();
		}
	}
}
void Viewport::set_physics_object_picking(bool p_enable) {