no
Stay on the top and you should have no problems.
Dogs are not allowed in the amphitheatre during events. In the past, people with dogs have sat at the very top, on the sidewalk on the outside of the low fence. With the new makeover to the place, the future of this remains unseen. You're allowed (or at least tolerated) to bring your dog there most times when there isn't something going on.
I don't recall seeing dogs. It may be posted no dogs in the amphitheater, but there is a park and walk paths near by where dogs are welcome.
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