-- https://jacquesmattheij.com/another-way-of-looking-at-lee-se...
> In 2009, a chess engine running on slower hardware, a 528 MHz HTC Touch HD mobile phone, reached the grandmaster level. The mobile phone won a category 6 tournament with a performance rating of 2898. The chess engine Hiarcs 13 runs inside Pocket Fritz 4 on the mobile phone HTC Touch HD. Pocket Fritz 4 won the Copa Mercosur tournament in Buenos Aires, Argentina with 9 wins and 1 draw on 4–14 August 2009.[33] Pocket Fritz 4 searches fewer than 20,000 positions per second.[34] This is in contrast to supercomputers such as Deep Blue that searched 200 million positions per second. Pocket Fritz 4 achieves a higher performance level than Deep Blue.
-- https://en.wikipedia.org/wiki/Human%E2%80%93computer_chess_m...
Although as others have pointed out, Chess seems to be computationally less expensive meaning 25W is fast enough to beat any human player.
Without a high budget, you just have standard hardware, and essentially it's similar to playing on fancier hardware with lower time constraints and pondering turned on.
You might have to limit storage as well to stop 'storing energy' on hard disks.
But seeing what people do is part of the fun!