Anyway, this is a reply to @msg-commander and may feature insane Javascript hack, so be warned. The objective is to transmit a way to think on things, and not to endorse usage of hacks or security-compromissable codes.
Anyway, initially I was thinking in DOM. Might want to take a look at https://www.w3schools.com/jsref/dom_obj_document.asp
It makes easy doing client-side hacks, if you ask me. A hack is an unreliable or poorly designed code, meant to patch a problem without really fixing it. For example, if you have water leaks on a hose. A fix is to change the hose. A hack is to patch the hose with insulating tape. The hack will prevent the water leak for a while, but as you might have noticed, there are a hundred of concerns with it, and if you get a water leak, the first place you'll look is at the tape (or at the hack - nevermind).
Back to topic. There's a Javascript property called document.documentURI. Basically, the final address on the website is rendered based on the taxonomy name, not on it's ID (except, maybe, in a few cases).
I am assuming that, of course, you're very consistent and every Game have a (valid) Peanut Gallery correspondence.
Doing the code could be accomplished in one of two ways:
1: You can "manually" convert the taxonomy name (basically, lower-case, replace special characters and trade spacebars by slashes): so Asdivine Hearts 2 becomes asdivine-hearts-2
With this, you add an hyperlink to the template (or something like that. Again, I don't really use Wordpress.)
So the page will render a link with reference to the taxonomy name - this is too much specific to Wordpress, and I am afraid I can't really give you any advice. It'll look something like this:
variable=TaxonomyName.replace(" ", "-").lower()
write("Blog posts about this")
The concept might be easier to understand using Javascript. But there are security holes, so only read this if you're BORED. Or curious.
...And please do not use hacks. Thanks. Seriously though, would you buy a hose which has holes sealed by insulating tape? No? Then don't use hacks on public sites

