#1215
No, thanks to either the 50 moves rule or the 3 fold repetition rule the number of games is finite.
The FIDE basic rules of chess have not included the 50 move rule or the 3 fold repetition rules since 2017.
Wrong about both. See 9.2.1 and 9.3 in https://handbook.fide.com/chapter/E012018
A 5-time repetition rule and 75-move rule were added in addition to this. Apparently they do not require a player to claim them, but can be invoked by the arbiter.
The FIDE basic rules of chess are the articles from 1 to 5. Look at the first page.
Article 9 comes under competition rules.
See a parallel forum for the likely way this question will be answered.