### Godot version

4.1

### System information

Windows 10.0.19045 - Vulkan (Forward+) - dedicated NVIDIA GeForce GTX 1060 (NVIDIA; 30.0.15.1403) - Intel(R) Core(TM) i7-7700HQ CPU @ 2.80GHz (8 Threads)

### Issue description


https://github.com/godotengine/godot/assets/2223172/3c8ee782-9d5f-42e3-a70f-d2aa59a233dd

We correctly clamp the size to 16x16 everywhere except here (probably).

### Steps to reproduce

1. Add a class with custom icon, e.g.
```GDScript
@icon("res://icon.svg")
extends Node
class_name Icon
```
2. Add it to scene
3. Open Script Editor and drag the node to script editor

### Minimal reproduction project

N/A
TreeItem *which = tree->get_edited();
	ERR_FAIL_COND(!which);
	NodePath np = which->get_metadata(0);
	Node *n = get_node(np);
	ERR_FAIL_COND(!n);
	String new_name = which->get_text(0);
	if (new_name.strip_edges().is_empty()) {
		// If name is empty, fallback to class name.
		if (GLOBAL_GET("editor/naming/node_name_casing").operator int() != NAME_CASING_PASCAL_CASE) {
			new_name = Node::adjust_name_casing(n->get_class());
		} else {
			new_name = n->get_class();
		}
	}
	if (n->is_unique_name_in_owner()) {
		Node *existing = get_tree()->get_edited_scene_root()->get_node_or_null("%" + new_name);
		if (existing == n) {
			which->set_text(0, n->get_name());
			return;
		}
		if (existing != nullptr) {
			error->set_text(TTR("Another node already uses this unique name in the scene."));
			error->popup_centered();
			which->set_text(0, n->get_name());
			return;
		}
	}
	_rename_node(n, new_name);
}
Node *SceneTreeEditor::get_selected() {