### 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*
selected = nullptr;
	can_rename = p_can_rename;
	can_open_instance = p_can_open_instance;
	editor_selection = nullptr;
	if (p_label) {
		Label *label = memnew(Label);
		label->set_theme_type_variation("HeaderSmall");
		label->set_position(Point2(10, 0));
		label->set_text(TTR("Scene Tree (Nodes):"));
		add_child(label);
	}
	tree = memnew(Tree);
	tree->set_anchor(SIDE_RIGHT, ANCHOR_END);
	tree->set_anchor(SIDE_BOTTOM, ANCHOR_END);
	tree->set_begin(Point2(0, p_label ? 18 : 0));
	tree->set_end(Point2(0, 0));
	tree->set_allow_reselect(true);
	tree->add_theme_constant_override("button_margin", 0);
	add_child(tree);
	SET_DRAG_FORWARDING_GCD(tree, SceneTreeEditor);