Fuji Feather: freewheel issue? (pt. 2)

Going to extend this thread a little.

Lots of people from the previous post suggested the chain is too tight but I forgot to mention that the issue was present with the old loose chain, too.

Purchased this used bike a week ago and honestly can’t tell if this noise was already present then. I noticed it after I washed it a few days ago.

The noise is 99.9% coming from the freewheel. It has some (though very little) lateral movement. What are the chances of this being an issue and once I replace it, the noise will stop? I found the exact freewheel for €15 (new).

Thank you for your help!