Nail in Pzero :(

So I went to put on my less than 2K miles Pzero’s last night since the weather has steadied in the high 40’s. Don’t want to ruin my winter tires. As I go to put the first one on I see it is flat, closer look reveals a nail. It’s in the tread pattern so it’s safe to patch and plug, just not sure how it will hold up to track duty in the summer. Read many online discussions and many have plugged and tracked with no issues.