### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
for (int i = 0; i < bottom_panel_items.size(); i++) {
		if (bottom_panel_items[i].control == p_item) {
			if (p_item->is_visible_in_tree()) {
				_bottom_panel_switch(false, i);
			}
			bottom_panel_vb->remove_child(bottom_panel_items[i].control);
			bottom_panel_hb_editors->remove_child(bottom_panel_items[i].button);
			memdelete(bottom_panel_items[i].button);
			bottom_panel_items.remove_at(i);
			break;
		}
	}
	for (int i = 0; i < bottom_panel_items.size(); i++) {
		bottom_panel_items[i].button->disconnect("toggled", callable_mp(this, &EditorNode::_bottom_panel_switch));
		bottom_panel_items[i].button->connect("toggled", callable_mp(this, &EditorNode::_bottom_panel_switch).bind(i));
	}
}
void EditorNode::_bottom_panel_switch(bool p_enable, int p_idx) {