Alright, I beat the tutorial and played a little past that. This game is basically Fate Grand Order with some quirks. It's played on a 3x3 grid on each side, and it has the same "select three out of five actions on your turn" gameplay as FGO, but the actions are slightly different, including an AOE action that targets certain spaces on the opposing side. You can change targets for each action unlike in FGO, and there's a support action mechanic that grants a lot of flexibility in doing different kinds of combo chains.
The gameplay in this sort of game is hard to evaluate for me until the game gets challenging, which never happens early on, but I like FGO's gameplay just fine so I assume I'll like this too. There are a few quirks I'm slightly concerned about (it's not clear to me how team construction works or how common characters compare to rare ones stats wise, but it might always be possible and correct to cram all of your rarest units and equipment on one team?).
The real star here is obviously the aesthetics though, and they are great. The music in particular is predictably excellent. I don't recall if all of the music is taken from existing media or if much/any of it is new, but it's still great. The character designs are cute, the animations are good, no real complaints there.
There's a guaranteed 4* character at the end of the tutorial (I think 4* is the highest rarity you can pull a unit at but they can be upgraded to 5* later or something?) and I pulled Madoka, which I'm very happy with. I was considering rerolling for Madoka or Kyoko, so glad I didn't have to bother with that.