We got a notice that case was received (we did i130+i485 concurrent filing). According to USCIS online tool, it'll take 34 months for review. Hoping to get her work authorization and travel authorization sooner, but no info on those yet.
My wife is on UHP though, not TPS. She was admitted in 2022 on Ukrainian Hjmanitarian Parole and is still on this status (they've cancelled parole for other countries, but not Ukraine so far). She doesn't have an overstay though like you guys do, which USCIS shouldn't care about for spouses fo US citizens, but who knows now...