In my experience - no. A membership is required even if it's your first visit. You can sign up and shop on the same visit.
I believe if you tell the door person your paying cash I'm understood that they will yes. Good question
Alone without membership, they don't allow. However, you could get in with someone who is already a member. Their yearly membership for $60 or something. If you like buying in large quantities then its worth taking the membership.
If you are going to take a new membership you need to enter from the exit where you have membership desk
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