I did a feed and sleep diary for medical reasons when my lo was 3 weeks, I still have it, detailing how long on each breast etc! In 48 hours I fed her 40 times and the longest period between feeds was about 45 minutes.
She did to on to be diagnosed with three medical issues contributing to this (two of which are still an issue) so believe me when I say I do understand.
But what I will say is that one feed does not a whole feeding choice forever make, nor one day of feeding one way, nor even a week or a month.
Do what you do right now to cope but don't think that one formula or bottle feed means you have to change to bottles or formula, if you don't want to. Keeping going with plan a when plan a isn't going well, plan b is good, and switch back to plan a as soon as you can.
I ended up supplementing my lo with expressed milk so I was feeding as above, and pumping and bottle feeding as well, at once point she was nearly solely on expressed milk but went back to fully breastfed again - you can change any habit in a few days with a bit of perseverance. Don't make decisions on a bad day. Make them when all is good and the sun is shining, you are less likely to look back and regret them.
Everyone hang in there. I've just spent an hour wrestling a toddler who wanted to get down on the floor, so I wouldn't let her as it is not time to play, so she tried to bite me. Joyful...