### 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_READ_THREAD_GUARD_V(MSAA_DISABLED);
	return msaa_2d;
}
void Viewport::set_msaa_3d(MSAA p_msaa) {
	ERR_MAIN_THREAD_GUARD;
	ERR_FAIL_INDEX(p_msaa, MSAA_MAX);
	if (msaa_3d == p_msaa) {
		return;
	}
	msaa_3d = p_msaa;
	RS::get_singleton()->viewport_set_msaa_3d(viewport, RS::ViewportMSAA(p_msaa));
}
Viewport::MSAA Viewport::get_msaa_3d() const {
	ERR_READ_THREAD_GUARD_V(MSAA_DISABLED);
	return msaa_3d;
}
void Viewport::set_screen_space_aa(ScreenSpaceAA p_screen_space_aa) {
	ERR_MAIN_THREAD_GUARD;
	ERR_FAIL_INDEX(p_screen_space_aa, SCREEN_SPACE_AA_MAX);
	if (screen_space_aa == p_screen_space_aa) {
		return;
	}
	screen_space_aa = p_screen_space_aa;
	RS::get_singleton()->viewport_set_screen_space_aa(viewport, RS::ViewportScreenSpaceAA(p_screen_space_aa));
}
Viewport::ScreenSpaceAA Viewport::get_screen_space_aa() const {
	ERR_READ_THREAD_GUARD_V(SCREEN_SPACE_AA_DISABLED);
	return screen_space_aa;
}
void Viewport::set_use_taa(bool p_use_taa) {