2: If the web store is blocked, you can manually download it here. Go to chrome://extensions and drag this file into the page:
Download
3: Make an account on your personal computer here: https://app.airgpu.com/signup. You can also do this on a school Chromebook with a pr0xy.
4: On your personal computer, or pr0xy, click on "Add credit" then "Purchase". You will be redirected to a site where you can fill out your credit card info and purchase credits.
5: On your school Chromebook, click on "Launch cloud gaming" and log into the account with the credits. Start a machine, and connect with Moonlight. Enjoy playing games!