### Godot version

v4.0.alpha11.official [afdae67cc] (when the feature was added) and newer (still happens in RC6)

### System information

Windows 10

### Issue description

I'm unable to handle when the user sets an exported node property (this feature: https://github.com/godotengine/godot/pull/62185) from a setter in the editor (tool script).

I don't know if this is intentional or not, but for me it was unexpected. I had to revert back to `NodePath`s.

### Steps to reproduce

- Create a scene
- Attach a script to a node
- Add `@tool` at the top of the script
- Export a node property with a setter, preferably with an easy way to see if it executed:
	```
	@export var node:Node:
		set (mod_value):
			prints("node", mod_value)
			node = mod_value
	```
- Save, close and open again the scene to make sure the tool script is running in the editor
- Set the node property from the inspector
- Observe that the setter didn't run

The setter is not bypassed when running the game, it is only bypassed in the editor.

We can compare with a `NodePath` property, which setter is not bypassed regardless if it is in the editor or in game runtime.

### Minimal reproduction project

[nodepath.zip](https://github.com/godotengine/godot/files/10840411/nodepath.zip)

} else {
			bc->add_child(spin[i]);
		}
		add_focusable(spin[i]);
		spin[i]->connect("value_changed", callable_mp(this, &EditorPropertyRect2::_value_changed).bind(desc[i]));
		if (horizontal) {
			spin[i]->set_h_size_flags(SIZE_EXPAND_FILL);
		}
	}
	if (!horizontal) {
		set_label_reference(spin[0]); 
	}
}
void EditorPropertyRect2i::_set_read_only(bool p_read_only) {
	for (int i = 0; i < 4; i++) {
		spin[i]->set_read_only(p_read_only);
	}
}
void EditorPropertyRect2i::_value_changed(double val, const String &p_name) {
	if (setting) {
		return;
	}
	Rect2i r2;
	r2.position.x = spin[0]->get_value();
	r2.position.y = spin[1]->get_value();
	r2.size.x = spin[2]->get_value();
	r2.size.y = spin[3]->get_value();
	emit_changed(get_edited_property(), r2, p_name);
}
void EditorPropertyRect2i::update_property() {