Tomorrow (I work from home on Tuesdays and Thursdays, so I'm not in the office today), I'll ask the building management about the specifics of the rule, and why the rule exists. Maybe this will let me use the freight elevator to bring the bike inside.
If that doesn't work, I'll at least request that they permanently attach the bike rack in the garage to the ground. Also, I'll be sure to take out a renter's insurance policy, which I should probably have anyway.
If my bike does get stolen, I'll make a claim with my renter's insurance, and when I get reimbursed for the bike, I'll buy a folding bike and just bring it inside with me.
Seem like a reasonable enough plan?