### 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)

BIND_ENUM_CONSTANT(DEBUG_DRAW_SHADOW_ATLAS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_DIRECTIONAL_SHADOW_ATLAS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_SCENE_LUMINANCE);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_SSAO);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_SSIL);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_PSSM_SPLITS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_DECAL_ATLAS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_SDFGI);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_SDFGI_PROBES);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_GI_BUFFER);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_DISABLE_LOD);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_CLUSTER_OMNI_LIGHTS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_CLUSTER_SPOT_LIGHTS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_CLUSTER_DECALS);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_CLUSTER_REFLECTION_PROBES);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_OCCLUDERS)
	BIND_ENUM_CONSTANT(DEBUG_DRAW_MOTION_VECTORS)
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_NEAREST);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_LINEAR);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_LINEAR_WITH_MIPMAPS);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_NEAREST_WITH_MIPMAPS);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_MAX);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_DISABLED);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_ENABLED);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_MIRROR);
	BIND_ENUM_CONSTANT(DEFAULT_CANVAS_ITEM_TEXTURE_REPEAT_MAX);
	BIND_ENUM_CONSTANT(SDF_OVERSIZE_100_PERCENT);
	BIND_ENUM_CONSTANT(SDF_OVERSIZE_120_PERCENT);
	BIND_ENUM_CONSTANT(SDF_OVERSIZE_150_PERCENT);
	BIND_ENUM_CONSTANT(SDF_OVERSIZE_200_PERCENT);