Can Hsv 1 be spread through a swimming pool?

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My teen had an excema outbreak in her upper pubic/lower abdominal area, that became infected (impetigo) after several weeks of not healing due to pants and undies rubbing constantly. Doctor prescribed antibiotics, which seemed to be working, but after they ran out, a few days later, the infection seemed to be coming back, but with blisters. Saw doc again, who diagnosed fever blisters, but wanted blood test to rule out std Hsv 2. Test confirmed Hsv 1, not 2. She's been on anti-viral meds for 10 days, and it still isn't cleared up yet. The doc office says to finish the medication, and call back Monday if it's not gone. Here's our problem: she (along with the whole family, young children as well) is going to a big family reunion party this weekend where most of the time will be spend in a pool. It's a public hotel pool, so should have lots of chlorine, but I can't seem to find a straight answer about how safe it is for her to get in the pool with everyone. I don't want her to feel left out, but I also don't want to infect anyone else, especially the little ones that'll be in the pool. It's not genital herpes, but it's not just a little fever blister on her mouth. It's basically the whole area across the top of her pubic hair area. She told me today that as of last night, sores are still actively 'popping and leaking stuff'...