I can’t reproduce your issue, but I know that Linux Mint has a loooooooong story of issues with HDMI monitors when the GPU is Nvidia. On the other hand, Ubuntu has worked this out. So I would recommend installing Ubuntu 22.04 (or XUbuntu 22.04, if you prefer a lightweight Debian-based Linux distro).
If you however can’t get rid of Mint or if you really really really want to use Mint so bad that replacing it for (X)Ubuntu is out the question, then you may try to troubleshoot this issue by either:
Disabling secure boot.
Upgrading the kernel to a newer version (5.15 series or the newer 6.1 series, if available).
Switching the NVidia driver: if you’re using the open-source, switch to the proprietary driver, and vice-versa.
Based on your computer specs, its GPU is Nvidia GeForce RTX 3070, whose proprietary Nvidia driver is the 525 series. Here are its latest releases:
Version 525.89.02, released on February 8, 2023
Version 525.85.05, released on January 19, 2023
Version 525.78.01, released on January 5, 2023
Version 525.60.11, released on November 28, 2022
Your Mint distro likely has one of these (proprietary) releases available. If none works, try the open-source (a.k.a. xserver-xorg) version.