### 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)

point_params.pick_point = true;
				int rc = ss2d->intersect_point(point_params, res, 64);
				if (physics_object_picking_sort) {
					struct ComparatorCollisionObjects {
						bool operator()(const PhysicsDirectSpaceState2D::ShapeResult &p_a, const PhysicsDirectSpaceState2D::ShapeResult &p_b) const {
							CollisionObject2D *a = Object::cast_to<CollisionObject2D>(p_a.collider);
							CollisionObject2D *b = Object::cast_to<CollisionObject2D>(p_b.collider);
							if (!a || !b) {
								return false;
							}
							int za = a->get_effective_z_index();
							int zb = b->get_effective_z_index();
							if (za != zb) {
								return zb < za;
							}
							return a->is_greater_than(b);
						}
					};
					SortArray<PhysicsDirectSpaceState2D::ShapeResult, ComparatorCollisionObjects> sorter;
					sorter.sort(res, rc);
				}
				for (int i = 0; i < rc; i++) {
					if (res[i].collider_id.is_valid() && res[i].collider) {
						CollisionObject2D *co = Object::cast_to<CollisionObject2D>(res[i].collider);
						if (co && co->can_process()) {
							bool send_event = true;
							if (is_mouse) {
								HashMap<ObjectID, uint64_t>::Iterator F = physics_2d_mouseover.find(res[i].collider_id);
								if (!F) {
									physics_2d_mouseover.insert(res[i].collider_id, frame);