Any idea when we might expect it?

It's listed directly on the GOG store page with a release date of "November 7, 2022."

Although they originally were going to release it on day one, on the same day as it's initial Steam release. So whether they will actually release it on November 7 is an open question.

Maybe/probably they will, though.

Yeah, I'm wondering the same, as this game is available in other platforms. But, I also should be using this time to finish Hyperdimension Neptunia, and then the sequels, and two of the Senran Kagura games.