Hi N64 Waddle Dee,
Welcome to Microsoft Community.
I'm Hahn and I'm here to help you with your concern.
I'm sorry to hear that you're facing sign-in process initialization failure issues on your new gaming PC. Here are a few steps you can try to resolve the problem:
BIOS/UEFI Settings: Since you've built the PC recently, there might be some BIOS/UEFI settings that are causing the issue. Try resetting your BIOS/UEFI settings to their default values. You can usually access the BIOS/UEFI settings by pressing a specific key (often Delete, F2, or F12) during the boot-up process. Consult your motherboard's manual for specific instructions.
Disclaimer: If you are going to modify BIOS Settings, please back up all your personal files first to ensure you do not lose data.
Make sure your computer hardware meets the minimum system requirements for Windows 11, including support for TPM 2.0, Secure Boot, etc. You can check this information in the BIOS.
For some older models, you may need to adjust the CSM/Compatibility Mode setting. Turning on CSM will enable better UEFI Secure Boot support.
Go to the Windows repair screen: During Windows startup, when you see the Windows logo, press the Power button to force the computer to shut down. Repeat this step three times until you see the Auto Repair screen. On the Auto Repair screen, select Advanced Options.
Repair the Windows: Try to repair the Windows installation using the same Windows 10 installation media. How to perform an In-place Upgrade with Windows 10 Step-by-Step Guide - Microsoft Community
There are many users in the community who have encountered the same problem, and you can also refer to the methods: Sign-in process initialization failed - Microsoft Community
I hope one of these methods works for you and you can enjoy your gaming PC again. I hope this helps. If there is anything not clear, please do not hesitate to let me know.
Your Sincerely
Hahn - MSFT | Microsoft Community Support Specialist