Resume Gap, fill in with a white lie?

I left teaching in 2022 when my son was born. I had been looking for a good reason to get out and this was it. I *technically* resigned end of school year 2024. I had been on unpaid leave, my contact allowed for 2 years of unpaid leave and I waited until the very end to officially declare, as a kind of fail safe incase something happens with husbands job etc. Currently, I have my resumé saying I stopped teaching in 2022. I am now applying to part-time remote positions (and like everyone else getting nowhere). Would it be better to list 2024 as my end of teaching to close that gap a bit more? I've also considered fudging a bit and including "Private Tutoring" for 2022-present, because really who would know. I am not the kind of person to generally lie, but I do like having a paycheck. And really want to avoid having to say Ieft to be a SAHM, we all know companies just love that.... Thoughts?