Well, Garrett said at a convention today that Picard wasn't allowed to use Harry because of Prodigy...
Interesting. Since it was said earlier that 2 characters (from the main casts, IIRC) from 2 different legacy series would appear in S2, this may mean that Torres, for example, may not be in S2 ("her place" as additional Voyager alumni being taken by Kim).
So, Kim is probably most likely to be involved with the training of Dal and co, as an officer (one hopes, or not!) under VA Janeway. Not only may he be a good match with the young recruits, he would also be willing to follow Janeway and said recruits on crazy missions to save Chakotay.
Which makes me wonder who the non-Voyager character may be. I'm guessing that the characters on Picard are unlikely, even Riker (who should probably come with Troi in this time period). Which would leave some DS9 characters as the most likely options. Bashir maybe, given his background? Ezri Dax? O'Brien? Or Worf anyway?
I'm hearing that Jason Mantzoukas is also asking people to watch Prodigy S1, on his podcast. It does give the impression that Prodigy is under pressure at Paramount+ and Nickolodeon, and an S3 is far from guaranteed. Especially now that P+ has to cut costs left and right while they are also greenlighting multiple projects (S31, SF Academy,...) at the same time.
However, the writer's strike may end up being a blessing as most of the new content (barring SNW S2, where the writing is probably complete) may end up getting put on hold for quite some time. Besides Lower Decks, more Prodigy may be the only option to offer new ST content on P+. Hopefully that will improve chances.
Then again, it may also lead to P+ shutting down completely...
A propos, new parts of the ST Prodigy OST are out on Youtube, like "Go fast" here:
It's part of Nami Melumad's Star Trek Prodigy Vol 5 playlist.