I like the joke, but HBO Go doesn’t belong with those other 3. HBO Go was an included streaming companion to a cable subscription. There was no way to get HBO Go without also subscribing to cable. HBO NOW was the first standalone streaming service, then renamed to HBO MAX, then renamed to Max.
If you need something legit to replace HBO go for the joke you could use HBO Nordic, which WAS a standalone streaming service with the HBO content that predates HBO Now. Technically HBO Nordic was only available as a European product, but it was accessible in the USA via VPN.