How to install a firmware on Linux for a fingerprint reader?

I have a Lenovo Thinkpad E15 Gen2 with a Goodix fingerprint reader and I'm trying to make it work for login on Arch Linux. I've installed fingerprint-gui but it's not recognized by it and I found this Github with the firmware I need. The ID of my fingerprint is 27c6:55a4. I found the firmware, made it executable with sudo chmod +x GF3268_RTSEC_APP_10041.bin and put it in /usr/lib/firmware but it's still not recognized by fingerprint-gui. How do I know if my firmware is correctly installed?