### 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)

}
EditorPropertyEasing::EditorPropertyEasing() {
	easing_draw = memnew(Control);
	easing_draw->connect("draw", callable_mp(this, &EditorPropertyEasing::_draw_easing));
	easing_draw->connect("gui_input", callable_mp(this, &EditorPropertyEasing::_drag_easing));
	easing_draw->set_default_cursor_shape(Control::CURSOR_MOVE);
	add_child(easing_draw);
	preset = memnew(PopupMenu);
	add_child(preset);
	preset->connect("id_pressed", callable_mp(this, &EditorPropertyEasing::_set_preset));
	spin = memnew(EditorSpinSlider);
	spin->set_flat(true);
	spin->set_min(-100);
	spin->set_max(100);
	spin->set_step(0);
	spin->set_hide_slider(true);
	spin->set_allow_lesser(true);
	spin->set_allow_greater(true);
	spin->connect("value_changed", callable_mp(this, &EditorPropertyEasing::_spin_value_changed));
	spin->get_line_edit()->connect("focus_exited", callable_mp(this, &EditorPropertyEasing::_spin_focus_exited));
	spin->hide();
	add_child(spin);
}
void EditorPropertyRect2::_set_read_only(bool p_read_only) {