Covid vaccine and fat loss diet

I tried to research the following ‘problem’, but didn’t manage to come to a conclusion:

I got my first covid shot (Pfizer/Biontech) a week ago and originally had planned to start a 3-week mini cut next week. Currently, my body fat percentage probably lies somewhere around 15 % and I was aiming for roughly 1.2 % of weight loss per week. Since I would expect the required caloric deficit to impact my immune system in some way, would it be advisable to postpone the cut until after the second dose?

Any advice is highly appreciated - thanks!

This is unlikely to make any significant difference in your immunization response. Either way will be fine