You are in a classic bidding war. Until a contract (lease) is signed by both sides and delivered back to you with the keys it is not binding.
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Dear Prospective Tenant:
A verbal agreement to agree to a lease is not a promise that may be enforced in a New York court, but you do not have a verbal agreement if you have a written hold signed by you and by the real estate agent and you paid money for this.
You have to examine your written agreement and check for the promise made to you about holding the apartment at the stated rent, contingent only, on your passing your credit review.
If the broker broke a written agreement you have a right to file a complaint. But Small Claims Court cannot do anything for you other than recover your hold deposit and it is not likely that you will decide to bring on a lawsuit for specific performance.
The answer provided to you is in the nature of general information. The general proposition being that you should try to avoid a bad outcome if you can.
Review the documents with an attorney.
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