EDIT - FIXED ITSELF WITH NO ACTION REQUIRED
I should have waited a day I guess.

I have GOG installed on two windows computers, and today both never had this problem before, but today both have the same error. See attached screenshot.

It says "It looks like we were unable to connct to the service at this time. Click 'retry' to try again!"

I did click retry and it very quickly just refreshes the error box, but does not connect.

When I go into GOG website with browser, I log in ok, and see the apps properly. So it appears to be an issue with the GOG app.

Is the server down or am I experiencing a problem with the app?