### 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(SHADOW_ATLAS_QUADRANT_SUBDIV_256);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_1024);
	BIND_ENUM_CONSTANT(SHADOW_ATLAS_QUADRANT_SUBDIV_MAX);
	BIND_ENUM_CONSTANT(SCALING_3D_MODE_BILINEAR);
	BIND_ENUM_CONSTANT(SCALING_3D_MODE_FSR);
	BIND_ENUM_CONSTANT(SCALING_3D_MODE_MAX);
	BIND_ENUM_CONSTANT(MSAA_DISABLED);
	BIND_ENUM_CONSTANT(MSAA_2X);
	BIND_ENUM_CONSTANT(MSAA_4X);
	BIND_ENUM_CONSTANT(MSAA_8X);
	BIND_ENUM_CONSTANT(MSAA_MAX);
	BIND_ENUM_CONSTANT(SCREEN_SPACE_AA_DISABLED);
	BIND_ENUM_CONSTANT(SCREEN_SPACE_AA_FXAA);
	BIND_ENUM_CONSTANT(SCREEN_SPACE_AA_MAX);
	BIND_ENUM_CONSTANT(RENDER_INFO_OBJECTS_IN_FRAME);
	BIND_ENUM_CONSTANT(RENDER_INFO_PRIMITIVES_IN_FRAME);
	BIND_ENUM_CONSTANT(RENDER_INFO_DRAW_CALLS_IN_FRAME);
	BIND_ENUM_CONSTANT(RENDER_INFO_MAX);
	BIND_ENUM_CONSTANT(RENDER_INFO_TYPE_VISIBLE);
	BIND_ENUM_CONSTANT(RENDER_INFO_TYPE_SHADOW);
	BIND_ENUM_CONSTANT(RENDER_INFO_TYPE_MAX);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_DISABLED);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_UNSHADED);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_LIGHTING);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_OVERDRAW);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_WIREFRAME);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_NORMAL_BUFFER);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_VOXEL_GI_ALBEDO);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_VOXEL_GI_LIGHTING);
	BIND_ENUM_CONSTANT(DEBUG_DRAW_VOXEL_GI_EMISSION);