### 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*
connect_to_script_mode = p_enable;
	update_tree();
}
void SceneTreeEditor::set_connecting_signal(bool p_enable) {
	connecting_signal = p_enable;
	update_tree();
}
void SceneTreeEditor::_bind_methods() {
	ClassDB::bind_method(D_METHOD("_update_tree"), &SceneTreeEditor::_update_tree, DEFVAL(false)); // Still used by UndoRedo.
	ClassDB::bind_method("_rename_node", &SceneTreeEditor::_rename_node);
	ClassDB::bind_method("_test_update_tree", &SceneTreeEditor::_test_update_tree);
	ClassDB::bind_method(D_METHOD("update_tree"), &SceneTreeEditor::update_tree);
	ADD_SIGNAL(MethodInfo("node_selected"));
	ADD_SIGNAL(MethodInfo("node_renamed"));
	ADD_SIGNAL(MethodInfo("node_prerename"));
	ADD_SIGNAL(MethodInfo("node_changed"));
	ADD_SIGNAL(MethodInfo("nodes_dragged"));
	ADD_SIGNAL(MethodInfo("nodes_rearranged", PropertyInfo(Variant::ARRAY, "paths"), PropertyInfo(Variant::NODE_PATH, "to_path"), PropertyInfo(Variant::INT, "type")));
	ADD_SIGNAL(MethodInfo("files_dropped", PropertyInfo(Variant::PACKED_STRING_ARRAY, "files"), PropertyInfo(Variant::NODE_PATH, "to_path"), PropertyInfo(Variant::INT, "type")));
	ADD_SIGNAL(MethodInfo("script_dropped", PropertyInfo(Variant::STRING, "file"), PropertyInfo(Variant::NODE_PATH, "to_path")));
	ADD_SIGNAL(MethodInfo("rmb_pressed", PropertyInfo(Variant::VECTOR2, "position")));
	ADD_SIGNAL(MethodInfo("open"));
	ADD_SIGNAL(MethodInfo("open_script"));
}
SceneTreeEditor::SceneTreeEditor(bool p_label, bool p_can_rename, bool p_can_open_instance) {