Most experts in the nutrition field say the data seems to show antioxidants hinder exercise adaptation. They say you want ROS action which is a signal for adaptation. Some advice avoiding high doses of them altogether and some think they should at least be taken away from exercise times. There was also one well known but contested meta-analysis saying supplemental antioxidants increased mortality.
Complicated subject.
The antioxidant craze never made sense to me, how we need all these isolated, high dose pills just to stay healthy, or for energy, or whatever.
Linus Paulding got a Nobel prize, but it wasn't for his vitamin c work. Ironically, he, his wife, and colleague all died of cancer, the illness he claimed his supplementation could avoid.