Only at the LA Historic Park. The Greek and Hollywood Forever Cemetery strictly prohibit dogs unless they're service animals. I'm not certain about the various historical venues in DTLA but presumably they are not allowed.
Not certain if it's officially allowed, but I've seen many small dogs (being carried) at all the screenings I've been to. (And actually never heard even one of them bark). I reckon it could, however, definitely be super overwhelming for most dogs since it's very much crowded. And very close quarters usually.
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