system
A chat on subreddit /r/NoStupidQuestions
human
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*
gpt
To the best of my knowledge, they can't. At least, not until they succeed on a speaker vote as things are now. 

Nobody has been sworn in yet. Because to do that, they need to have a speaker. In order to change the rules, they need to have a sworn in house of Reps. Literally the only thing they can do (based on what I've read) is vote for the speaker

Edit: I have been informed that they can vote to change the rules, specifically about the speaker vote. TIL