### 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
}
		item->set_text(0, new_name);
	}
	if (new_name == p_node->get_name()) {
		if (item->get_text(0).is_empty()) {
			item->set_text(0, new_name);
		}
		return;
	}
	// Trim leading/trailing whitespace to prevent node names from containing accidental whitespace, which would make it more difficult to get the node via `get_node()`.
	new_name = new_name.strip_edges();
	if (!is_scene_tree_dock) {
		p_node->set_name(new_name);
		item->set_metadata(0, p_node->get_path());
		emit_signal(SNAME("node_renamed"));
	} else {
		EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();
		undo_redo->create_action("Rename Node", UndoRedo::MERGE_DISABLE, p_node);
		emit_signal(SNAME("node_prerename"), p_node, new_name);
		undo_redo->add_undo_method(p_node, "set_name", p_node->get_name());
		undo_redo->add_undo_method(item, "set_metadata", 0, p_node->get_path());
		undo_redo->add_undo_method(item, "set_text", 0, p_node->get_name());
		p_node->set_name(p_name);
		undo_redo->add_do_method(p_node, "set_name", new_name);
		undo_redo->add_do_method(item, "set_metadata", 0, p_node->get_path());
		undo_redo->add_do_method(item, "set_text", 0, new_name);
		undo_redo->commit_action();
	}
}
void SceneTreeEditor::_renamed() {