How would you go about looking for a job now, with that gap in your CV? What would you write and how would you explain it at potential interviews?
e.g.: Assistant to the Regional Manager, Dunder-Mifflin, 2009-2023
A 10-month gap will be invisible. You'll see. Then, next step, never mention it in an interview.
If they want exact dates of employment then by all means give it to them. If they ask during the interview, tell them. I have never seen an interview cycle get that picky about dates.
If you really want an unethical life protip, tell them you were caring for a sick family member. Do you think they'll press on that button?
I've been omitting months for a very, very long time and have gone through numerous background checks from different companies. Never once has omitting months been a problem or even something anyone wanted clarification about. I'm not saying anything that isn't accurate. I'm just rounding off irrelevant detail, no different than omitting the exact day that I started and ended each job.
Nobody cares about what month you started and ended, unless your employment lasted less than a year, maybe.