Just curious, Chrome or any other browser does not allow to set cookies present in public suffix list. Domains like .github.io or .compute.aws.amazon.com are a few examples present on the list.
Both Chrome and Firefox include a copy of the Public Suffix List in each build. You can find this for Chromium here, and for Firefox here.
It looks like Firefox's copy is updated about once a week. Chromium's appears to be updated less frequently. As of right now, the last update to Chromium's list was 6 months ago.