### 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 {
				EditorPropertyText *editor = memnew(EditorPropertyText);
				if (p_hint == PROPERTY_HINT_PLACEHOLDER_TEXT) {
					editor->set_placeholder(p_hint_text);
				} else if (p_hint == PROPERTY_HINT_PASSWORD) {
					editor->set_secret(true);
					editor->set_placeholder(p_hint_text);
				}
				return editor;
			}
		} break;
			
		case Variant::VECTOR2: {
			EditorPropertyVector2 *editor = memnew(EditorPropertyVector2(p_wide));
			EditorPropertyRangeHint hint = _parse_range_hint(p_hint, p_hint_text, default_float_step);
			editor->setup(hint.min, hint.max, hint.step, hint.hide_slider, p_hint == PROPERTY_HINT_LINK, hint.suffix);
			return editor;
		} break;
		case Variant::VECTOR2I: {
			EditorPropertyVector2i *editor = memnew(EditorPropertyVector2i(p_wide));
			EditorPropertyRangeHint hint = _parse_range_hint(p_hint, p_hint_text, 1, true);
			editor->setup(hint.min, hint.max, 1, true, p_hint == PROPERTY_HINT_LINK, hint.suffix);
			return editor;
		} break;
		case Variant::RECT2: {
			EditorPropertyRect2 *editor = memnew(EditorPropertyRect2(p_wide));
			EditorPropertyRangeHint hint = _parse_range_hint(p_hint, p_hint_text, default_float_step);
			editor->setup(hint.min, hint.max, hint.step, hint.hide_slider, hint.suffix);
			return editor;
		} break;