Will We Ever Discover that God(s) Do or Don't Exist?

[°Leprechaun]

Almost certainly not, as it is a logical fallacy.  If there is no "God," there is nothing to discover or not discover; there will always be a "gap" allowing some to believe that there is indeed a deity of some sort, and we simply cannot discover such a thing.  If there is a "God," we logically cannot use tools and methods that would inherently be a part of such a deity's creation to prove it exists ... the whole game board pieces proving that there was a creator to the game board thing.

That pretty much sums up why a debate on the existence of a deity is a waste of time.
It's been debated for many millennia and gotten nowhere. Why not just be a good person and focus on life in the here and now?

[°Leprechaun]

What about the Invisible Pink Unicorn, a religion based around the existence of a contradiction of being invisible and pink?

The Invisible Pink Unicorn isn't a genuine religion devised in good faith. It's a poor man's version of New Atheist own-the-Christoids thought experiments like the Flying Spaghetti Monster, and effectively just a parodic version of Russell's teapot designed to annoy anyone who places faith in a deity in a manner that even John Dule would find unsuited to the entire premise.

On a more serious note, what about a universe where a deity exists but it isn’t a human one??? Imagine if the “chosen people” were some bug like aliens.

The whole problem with the  "God myth" thing is that different religions have different concepts on exactly "who" or "what" the Supreme Being is. The Christian "God" tends to be thought of sort of as if "he" were not only human but "male" as well. Not everyone has
a similar concept of the "ground of all being". You could call the Supreme Being a Great Spirit or a Highest Power or the Tao etc. etc. etc.