Hi Sdtrendy. Sounds like you've decided to go it alone. No broker for you, yes? I've not read the other responses, so I'm coming at this straight forward. You say you9;re accepting an offer then you say you're (esentially) making an offer. Yes, the purchase is contingent on you sucessfully obtaining a mortgage.
My best suggestion to you is this: In New York State, real property and coop purchases require an Attorney. Since you'll obviously be using one, ask them what to include in your offer. After all you're their client and as members of the New York State Bar Association, they are also Brokers.