Easy tire leak repair?

Hello, I hope I'm in the right sub. I bought a used Chevy Sonic 2016 last July with 37k miles.

I've only put 10k miles on it in the past year. Regardless, I have a tire that has a slow leak. I can refill the air, but it takes about a week to set off my dashboards pressure warning. My tire pressure gauge also doesn't work on the valve, but works fine with my other tires.

Is this an easy fix that I can take care of myself?