Bingo game
So for example, say we have 4 players. Vedal, Anny, Camila, Miyune.
Each player has their own personally crafted Neuro-sama bingo card -Am I Am I, I love you, I'm an AI, etc etc-
Bingo card is either 4x4 or 5x5 whichever seems more appropriate
Maybe even a 3x3 card for faster rounds as Neuro will no doubt give silly answers to slow the game down but that can also be a bingo square -ignores the question-
Everyone has their card open in Paint or whatever so they can easily mark their completed squares
Each player gets a turn asking Neuro a question to try and bait a response that matches one of their Bingo squares.
It's not exclusive so if Camila asks Neuro a question and the answer matches one of Anny's squares, Anny can mark it
This depends on how much work it is, you could have everyone's Bingo card on screen under/next to their avatars so the audience can track everyone's progress, this lets chat have some interaction with the game
If that's not an option then the player who gets a bingo posts screenshot proof in the discord channel/whatever they're using to chat together.
First player(s) to get a bingo get 1 point and everyone resets their cards, whoever has the most points by the end of the stream wins.
No idea how to decide who asks the questions other than just taking turns but maybe that's good enough
I don't know how much of a hassle it would be for Vedal but to keep things entertaining he could alternate the Neuros.
Round 1: Neuro Bingo card with regular Neuro
Round 2: Evil Neuro Bingo card with Evil Neuro
Repeat until end of stream