You can run LeelaZero, which is weaker than AlphaZero but neck and neck with Stockfish. It lost 50.5-49.5 in the recent TCEC championship [0], which sounds like it is what you are referring to. (It historically has used equal hardware, but that has been complicated by the emergence of GPU engines).
What I'd like is a shim to act as a UCI engine but actually relay moves to/from LeelaZero on a remote machine. Chessbase offer something like this, but as a paid service on a proprietary protocol.
Yea the TCEC is one. I also think the chess.com computer chess championship (CCC) is interesting (Stockfish is winning here as well). The CCC uses more advanced hardware. Both are live now and interesting to watch, I mentioned the link for CCC but the TCEC is here: https://tcec.chessdom.com/
A server-based championship would also be interesting but pretty degenerate. I guess that's why computers playing more complex real-time games is becoming the bleeding edge.
What I'd like is a shim to act as a UCI engine but actually relay moves to/from LeelaZero on a remote machine. Chessbase offer something like this, but as a paid service on a proprietary protocol.
[0]https://en.wikipedia.org/wiki/TCEC_Season_14