system
A chat on subreddit /r/NoStupidQuestions
human
I REALLY hope the Dems don't budge and either force a new candidate, get enough republicans to back their person and form more or less a coalition government, or (my personal favorite but least likely to happen) trap the house into a two year long cycle of voting for but never electing a speaker
gpt
If the house keep failing to elect a speaker they will change how the vote works and only require a majority. The house is to important to be stuck like this for long.

Edit: plurality not majority*