I got nerd sniped and tried to reconstruct the games. The notation is weird and they aren't using modern conventions (a1 is dark, queens on the d-file, kings on the e-file, white goes first.)

Also, as the article mentions there are a few errors. With a bit of deduction this is my best attempt at reconstructing the first one:

https://lichess.org/HzzfuyWv

In keeping with the theme of exciting new technology, I tried giving the problem to Opus 4.5 but it seems to hallucinate badly: https://claude.ai/share/299fb10e-8465-41b3-bad5-85500291ed67