Rules are no outside food. They do not check bags and are not actively enforcing. So with a little discretion you should be fine. I don't know how reentry works, but a picnic in the park which is right there too may be a good option.
When I bought in my tickets they mentioned no outside food items and bottles are allowed. Water bottles are ok and you can refill them at multiple stations.
Yea it's no big deal just clean up after yourself and they wouldn't care
Water bottles are ok
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