[Scripting] Remote scene tree icon issue in when Script's type mismatchs

### Tested versions

v4.5.1.stable.mono.official [f62fdbde1]

### System information

Godot v4.5.1.stable.mono - Windows 10 (build 19044) - Multi-window, 4 monitors - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 4060 Ti (NVIDIA; 32.0.15.8097) - AMD Ryzen 9 7950X 16-Core Processor (32 threads) - 63.05 GiB memory

### Issue description

The Node will have an incorrect visual type in the remote scene tree if the Script's declaring type mismatches.

https://github.com/user-attachments/assets/5617576d-3040-4902-81c7-2fef38f13269

### Steps to reproduce

1. Create a new project.
2. Create a 2D scene (with a single Node2D).
3. Create a GDScript with the content of `extends Node`.
4. Attach the script to the node.
5. Run this scene, and inspect the Remote tree where the node turns into `Node` as opposed to `Node2D`.

### Minimal reproduction project (MRP)

[MrpNodeChangeType.zip](https://github.com/user-attachments/files/23391724/MrpNodeChangeType.zip)

Start with the attached MrpNodeChangeType.zip and reproduce the issue using the listed steps, then inspect the remote scene tree behavior when a Node2D has a script declaring extends Node. Done means the remote tree continues displaying the node as Node2D despite the script's mismatched declaring type.

Written by the indexing model from the issue text.