Yes. But be sure that they're not full. To avoid capacity situations, try to purchase the pass ahead of time.
The only issue is if they are at capacity, they do not let you buy a day pass at the location if at capacity. I had this happen before. If purchased beforehand you should be ok
Yes, age has nothing to do with it. Not all locations offer the day pass but at LAX you should be good. I believe it is $100 or so
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