A search with "HP tilt pen compatibilty list" surfaces among others this link:

https://s3-ap-southeast-2.amazonaws.com/wc-prod-pi...

I did not find out from when it dates. In the PDF-file unfortunately your computer HP spectre x360 15eb1000 does not exist. Therefore one might conclude that the HP tilt pen does not work with your computer.

However I believe that the functioning is more a question of the operating system. If you have Windows 10 or 11 it might still work.