I’m hesitant to give you a 100% answer because I’ve never heard of “conditional acceptance,” but congratulations!
If you have the housing form, you should send it in ASAP to get your preference. If I’m not mistaken, fully accepted students probably already have their housing preference forms, or will be getting them soon. Freshman housing is a first-come, first-served basis. You should call the Office of Residence Life to double check. Their number is 518-276-6284.