Yes, you don’t actually have to switch. You could also throw a coin to decide to stay at the current door or to switch. By throwing a coin, you actually improved your chances of winning the price.

That’s basically the perfect answer already. I just want to add that OP might want to prefer a city with a university as they are usually even younger and more progressive than others. While I haven’t lived in Freiburg, it certainly would be a good choice if you value that.

If you’re trying to optimize your cost, you might get away for free by installing a virtual machine on your existing MacBook :)