### 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)

ClassDB::bind_method(D_METHOD("set_world_2d", "world_2d"), &Viewport::set_world_2d);
	ClassDB::bind_method(D_METHOD("get_world_2d"), &Viewport::get_world_2d);
	ClassDB::bind_method(D_METHOD("find_world_2d"), &Viewport::find_world_2d);
	ClassDB::bind_method(D_METHOD("set_canvas_transform", "xform"), &Viewport::set_canvas_transform);
	ClassDB::bind_method(D_METHOD("get_canvas_transform"), &Viewport::get_canvas_transform);
	ClassDB::bind_method(D_METHOD("set_global_canvas_transform", "xform"), &Viewport::set_global_canvas_transform);
	ClassDB::bind_method(D_METHOD("get_global_canvas_transform"), &Viewport::get_global_canvas_transform);
	ClassDB::bind_method(D_METHOD("get_final_transform"), &Viewport::get_final_transform);
	ClassDB::bind_method(D_METHOD("get_screen_transform"), &Viewport::get_screen_transform);
	ClassDB::bind_method(D_METHOD("get_visible_rect"), &Viewport::get_visible_rect);
	ClassDB::bind_method(D_METHOD("set_transparent_background", "enable"), &Viewport::set_transparent_background);
	ClassDB::bind_method(D_METHOD("has_transparent_background"), &Viewport::has_transparent_background);
	ClassDB::bind_method(D_METHOD("set_msaa_2d", "msaa"), &Viewport::set_msaa_2d);
	ClassDB::bind_method(D_METHOD("get_msaa_2d"), &Viewport::get_msaa_2d);
	ClassDB::bind_method(D_METHOD("set_msaa_3d", "msaa"), &Viewport::set_msaa_3d);
	ClassDB::bind_method(D_METHOD("get_msaa_3d"), &Viewport::get_msaa_3d);
	ClassDB::bind_method(D_METHOD("set_screen_space_aa", "screen_space_aa"), &Viewport::set_screen_space_aa);
	ClassDB::bind_method(D_METHOD("get_screen_space_aa"), &Viewport::get_screen_space_aa);
	ClassDB::bind_method(D_METHOD("set_use_taa", "enable"), &Viewport::set_use_taa);
	ClassDB::bind_method(D_METHOD("is_using_taa"), &Viewport::is_using_taa);
	ClassDB::bind_method(D_METHOD("set_use_debanding", "enable"), &Viewport::set_use_debanding);
	ClassDB::bind_method(D_METHOD("is_using_debanding"), &Viewport::is_using_debanding);
	ClassDB::bind_method(D_METHOD("set_use_occlusion_culling", "enable"), &Viewport::set_use_occlusion_culling);
	ClassDB::bind_method(D_METHOD("is_using_occlusion_culling"), &Viewport::is_using_occlusion_culling);
	ClassDB::bind_method(D_METHOD("set_debug_draw", "debug_draw"), &Viewport::set_debug_draw);