### 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)

ERR_MAIN_THREAD_GUARD;
	if (camera_3d_override) {
		if (camera_3d_override.fov == p_fovy_degrees && camera_3d_override.z_near == p_z_near &&
				camera_3d_override.z_far == p_z_far && camera_3d_override.projection == Camera3DOverrideData::PROJECTION_PERSPECTIVE) {
			return;
		}
		camera_3d_override.fov = p_fovy_degrees;
		camera_3d_override.z_near = p_z_near;
		camera_3d_override.z_far = p_z_far;
		camera_3d_override.projection = Camera3DOverrideData::PROJECTION_PERSPECTIVE;
		RenderingServer::get_singleton()->camera_set_perspective(camera_3d_override.rid, camera_3d_override.fov, camera_3d_override.z_near, camera_3d_override.z_far);
	}
}
void Viewport::set_camera_3d_override_orthogonal(real_t p_size, real_t p_z_near, real_t p_z_far) {