A lease is a contract and if they have a specific disclosure and you have a copy that should settle the matter. Specific clauses have priority over general terms. If there was no agreement then the contract is invalid except for the part that was performed such as rent, occupancy and so on. The disclosure will be an important part of your defense. Do not take advice form the other side and property managers are not usually trained to interpret contract law.
Only If and until you and I sign an Agreement for Legal Services, I am not your attorney. These answers are provided for informational and/or novelty purposes