Yes, I had the single dose Jansen vaccine in May. I also had some residual coughing when exercising or talking emotionally (positive emotions, not shouting). Same thing with strength as with you. No problem with push and pull ups, squats or jumping. It is just that my heart rate goes up faster than usual. E.g. I had to carry a 50 lbs box upstairs and after the second floor I already felt my heart beating. Wouldn't have been an issue before, even if running upstairs with 50 lbs.
I'm 40, I got Covid-19 in Christmas, I got the second shot of Pfizer last July. I did not have a fever, I was just very tired for a few days. Then cough came. One month later I still feel something in my chest, I cough a little when I talk, and I collapse on Friday morning, instead of Friday evening, after a week of work (so I have a little less energy than before).
I'm doing push-ups, pull-ups and one leg squats as before. No problem there.