A tampermonkey (web extension) userscript which downloads Panopto videos.

Firefox: https://addons.mozilla.org/en-GB/firefox/addon/tampermonkey/
Chrome/Chromium based browsers (e.g Brave, Opera GX, etc...): https://chromewebstore.google.com/detail/tampermonkey/dhdgffkkebhmkfjojejmpbldmpobfkfo?hl=en
(If you have any problems in relation to installing the extenstion, consult; https://www.tampermonkey.net/index.php?locale=en)

Actually installing the userscript:
After installing the extensions from above, restart your browser and then go to the following URL and hit install:
https://raw.githubusercontent.com/zoroaster1x/Panopto-Downloader/main/Panopto%20Video%20Downloader-1.5.user.js

After that, you may go to your school/university's page for Panopto and click on a video.
You should then see a new "Downloader" icon in the side bar
E.g

Simply hit it and then you should see the following panel appear, where you can hit download and then enjoy your newly downloaded video: