I believe that depending on membership type, after the first month, you then have access to the other locations.
If you are a member your keyfob gets you in after staffed hours. Guests are only allowed during the staffed hours. If you are a member after a month you should be able to use your fob at any Anytime Fitness.
You get a key fob so you can use the gym any time. Not sure about all the membership options, but my membership does give me access to all locations.
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