More books and stories are listed at https://en.wikipedia.org/wiki/List_of_nuclear_holocaust_fict... and https://en.wikipedia.org/wiki/List_of_apocalyptic_and_post-a...

The Beast of Heaven by Victor Kelleher is very relevant to current affairs. Two AIs guard a nuclear weapon in endless discussions, drawing heavily from Milton's Paradise Lost and the bible.

https://www.goodreads.com/book/show/2333226.The_Beast_of_Hea..., borrowable at https://archive.org/details/beastofheaven0000kell/page/2/mod...