### 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)

}
				}
			}
			if ((expansion_rows != prev_expansion_rows) && expanded) {
				update_minimum_size();
			}
			if ((expansion_rows == 0) && (layer_index == layer_count)) {
				
				break;
			}
			Ref<Texture2D> arrow = get_theme_icon(SNAME("arrow"), SNAME("Tree"));
			ERR_FAIL_COND(arrow.is_null());
			Color arrow_color = get_theme_color(SNAME("highlight_color"), SNAME("Editor"));
			arrow_color.a = expand_hovered ? 1.0 : 0.6;
			arrow_pos.x += 2.0;
			arrow_pos.y -= arrow->get_height();
			Rect2 arrow_draw_rect(arrow_pos, arrow->get_size());
			expand_rect = arrow_draw_rect;
			if (expanded) {
				arrow_draw_rect.size.y *= -1.0; 
			}
			RID ci = get_canvas_item();
			arrow->draw_rect(ci, arrow_draw_rect, false, arrow_color);
		} break;
		case NOTIFICATION_MOUSE_EXIT: {
			_on_hover_exit();
		} break;
	}
}
void EditorPropertyLayersGrid::set_flag(uint32_t p_flag) {