I'd recommend not worrying about 1 day a week of 'binge eating'. Life is still for living, and enjoying yourself should remain a priority!
Getting to your target weight is a journey not a race.
Whilst weight loss is not my primary goal, I've found that eating lots once a week makes little difference.
Everyone is different, and you're clearly taking regular weight measurements, so I'd recommend trialing having a cheat day and seeing the effect. I weigh daily, and a cheat day shows up for only 2 days before seemingly vanishing off the scales.
Besides, worst case is it adds a few hundred grams, that will help you with maintaining your size or your suit.