Question about Microsoft Surface Pen

I had a Surface Pro, and was able to connect this stylus to my new laptop (an Asus model, nothing to see here). I think the stylus is simply compatible with Windows (and not a laptop model).

I have the same question about my newly purchased Surface Laptop 6. I bought the Surface Slim Pen 2 with it. Firstly, it doesn't come with a charger and secondly, according to Digitec, it's not compatible with the device? Which pen should I buy then?