Avoiding paying rent and mortgage?

I am renting an apartment, and my lease is up at the end of March. I recently put an offer on a house, and my realtor is telling me that there is a chance I could be getting the keys before Christmas - if all goes well. I spoke with one of the ladies in the office and asked about terminating the lease before March. She let me know that I would have to pay 2 month rent, and possibly lose my security deposit (which was one months rent). I want to be able to move out of this place, just have had bad experience renting from them, but don't want to forfeit 2 months rent and my security deposit, which would be 3 months rent. Is there any way to get around this or try to work this out?

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