Hi Matteo,
Welcome to Microsoft Community, Thank you for reaching us. We apologize you are getting this problem on your Surface Pro. Will make sure to help you out regarding this problem. Your Surface Device is still under warranty and must get fix before the mention time.
Since you mention your issue has been escalated and you also replied to the email twice and still not getting any respond.
possible Microsoft Surface Support Portal, Since you already create a support request you might track your request on here.
please open this link: https://learn.microsoft.com/en-us/surface/surface-support-portal
Scroll down until you reach (Create and track service requests for device replacement or repair or Manage Surface device warranty and coverage).
Below you will see the steps on how to track, follow up or create a another request.
If there’s anything more you’d like to share or questions, please don’t hesitate to reach out.
Warm regards,
Jansher Liwag
Microsoft Community