Try installing this driver:
https://aur.archlinux.org/packages/8188fu-dkms-git/
Read the AUR comments page.
You will likely need to install the linux-lts
kernel to get the driver working before installing the driver. I think the few times I've dealt with this driver in the past it's always been a problem.
IMO you would be far better finding a decent replacement, but see how things work out for you.
Edit:
For kernel 5.8 and upwards, try this driver package:
https://aur.archlinux.org/packages/8188fu-kelebek333-dkms-git/