Hey @Mists – I feel you on that, I’ve had almost the exact same “uh... what now?” moment the first time I tried Knots on Mint. Don’t worry, you’re not alone. After sudo apt update, you should run sudo apt install bitcoinknots. That’ll pull the package from the PPA you added.
As for re-downloading the whole chain – good news: if your Core install was recent and you're using the default data directory (~/.bitcoin), Knots will just pick it up and continue. Just make sure Core isn't running when you fire up Knots for the first time.
Oh, and don’t sweat being a Linux “newb” – we all start there. Honestly, it’s half the fun (the other half is breaking stuff and learning to fix it).
Let me know where you’re stuck if that doesn’t get it running – happy to help dig in.