Loved this a lot!
Clark fighting with himself and unintentionally digging himself in deeper and Lois being the best side of herself
I do wonder how she would have responded to Superman if she had seen him before she figured it out, but this is just as satisfying as I'm sure that would have been

Best line would have to be:
"So his housing status should dictat—wait, he doesn't have anywhere to live? Where does he go when he's not performing rescues? How does he relax? Clark! That's so sad...does he relax at your place? Does he have other friends he can talk to when he's had a hard day? Please tell me he doesn't spend all his time doing super feats—the man deserves to relax! Clark...are you still listening?"
It shows how much Lois really sees Superman, and how she really believes he's a person with needs and wants.
Thanks for sharing. Great one-shot for a Monday.