itch.io

You are perfectly fine, there no need to appologise!

I see this as a very interesting computer problem. I think MANY people who develop games in itch would be looking for a solution.

I have heard of using localstorage to save information instead of using cookies. (see https://www.w3schools.com/html/html5_webstorage.asp) But depending on your framework that you used to make the game, it might not be a workable solution.
ie. it seems not to work for these devs also; https://itch.io/t/1194304/local-storage-not-working-on-itch

I swear that I read a comment about a workaround on the community forum, but am having great difficulty trying to find it now. :/

I've never uploaded anything to itch (yet); so you are miles ahead of me!