Yup, the Basic Display Adapter is back. You don't even have a driver for your graphics card currently installed. Do you know the specs of your laptop? If you have a deviceconfig from when the game was using your card, that would list it, about 30 lines down. Otherwise, hit Windows key-X, choose Device Manager, expand the Display adapters section, and see what's listed there. Even if the card isn't working, it'll hopefully show up.
Please also find the software download page for your laptop. HP makes it difficult to find this page without a serial number, and of course you shouldn't post that online. Instead, go here:
https://support.hp.com/us-en/drivers/laptops
Enter your serial number, choose your OS if asked (Windows 10 64-bit, 2004 to be specific), and you'll land on the download page. Please link it here, so we can see what drivers are available. That page won't have any personal information about you, just downloads for your model laptop.