### Godot version

v4.1.rc2.official [46424488e]

### System information

Godot v4.1.rc2 - Windows 10.0.19045 - Vulkan (Mobile) - dedicated NVIDIA GeForce GTX 1050 Ti (NVIDIA; 31.0.15.3623) - Intel(R) Core(TM) i3-6100 CPU @ 3.70GHz (4 Threads)

### Issue description

A minor annoyance when accidentally editing the name of a uniquely named node. Nothing gets broken. But you get an incorrect alert.

**Addendum 1**: Actually I was using rename to copy the name of the controls, because of this I was not changing their names.

### Steps to reproduce

1. In any scene
2. Add or make a Node uniquely named (%)
3. Rename the Node to the same it had

You get an alert saying "Another node already uses this unique name in the scene.".

![image](https://github.com/godotengine/godot/assets/1212509/7ea60403-4bc1-4332-961e-3b9c36bf9216)

**Addendum 2**: <strike>It appears to not always happen, but if I make a change of the name, and revert it to what it was, it will happen for sure. </strike> It does not happen if I cancel (ESC). *It is a matter of muscle memory, sorry by the confusion.*

### Minimal reproduction project

*Any project would do*
if (!is_inside_tree()) {
		tree_dirty = false;
		return;
	}
	if (tree->is_editing()) {
		return;
	}
	updating_tree = true;
	tree->clear();
	if (get_scene_node()) {
		_add_nodes(get_scene_node(), nullptr);
		last_hash = hash_djb2_one_64(0);
		_compute_hash(get_scene_node(), last_hash);
	}
	updating_tree = false;
	tree_dirty = false;
	if (!filter.strip_edges().is_empty()) {
		_update_filter(nullptr, p_scroll_to_selected);
	}
}
bool SceneTreeEditor::_update_filter(TreeItem *p_parent, bool p_scroll_to_selected) {