The best I can suggest is look into the NVidia Optimus driver. https://wiki.archlinux.org/index.php/NVIDIA_Optimus
The port is possibly disabled via driver.
The way the nvidia/intel GPU are laid out in laptop has some funky architecture, with one GPU controlling the HDMI ports and the other controlling the LVDS output of the flat panel. This architecture has ...
Can you paste the output of xrandr --verbose
If the HDMI output shows up like you can add the display manually:
xrandr --newmode $(cvt 1920 1080 60.00 | grep Mode | sed -e 's/.*"/1920x1080my/')
xrandr --addmode HDMI-1 1920x1080my
xrandr --output HDMI-1 --mode 1920x1080my
I got my Asus TUF A15 working under Ubuntu Studio 20.04 LTS by installing the nvidia-driver-440 (automatically fallen into 450 version) driver, but after some days messing around with the laptop, I realized that some programs were having serious issues with graphics. Games' performance (few, I don't use to play games) was even much poorer than any former ...