### 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)

if (!p_node->is_visible()) {
		return nullptr; 
	}
	Transform2D matrix = p_xform * p_node->get_transform();
	
	if (matrix.determinant() == 0.0f) {
		return nullptr;
	}
	Control *c = Object::cast_to<Control>(p_node);
	if (!c || !c->is_clipping_contents() || c->has_point(matrix.affine_inverse().xform(p_global))) {
		for (int i = p_node->get_child_count() - 1; i >= 0; i--) {
			CanvasItem *ci = Object::cast_to<CanvasItem>(p_node->get_child(i));
			if (!ci || ci->is_set_as_top_level()) {
				continue;
			}
			Control *ret = _gui_find_control_at_pos(ci, p_global, matrix);
			if (ret) {
				return ret;
			}
		}
	}
	if (!c || c->data.mouse_filter == Control::MOUSE_FILTER_IGNORE) {
		return nullptr;
	}
	matrix.affine_invert();
	if (!c->has_point(matrix.xform(p_global))) {
		return nullptr;
	}
	Control *drag_preview = _gui_get_drag_preview();