Private mode has all trackers disabled, so they might be able to trace the IP to my router, but not to a specific device (assuming you have random hardware ID activated). With kagi it’s traced to a specific account regardless.
And while I’m running a VPN by default, kagi will still be able to identify me, so that’s an absolute no-go.
There are some Brazilian instances, pretty sure they speak Portuguese as well. And it’s the largest minority in Luxembourg, so chances are that you’ll find someone on their instance as well. There’s at least one, but I forgot the name.