Tough to say due to all the variables, but it looks marginal due to your relatively short time horizon of 5 years.
Using the trusty NY Times buy/rent calculator and assuming your place could fetch $2200/mo, it will take 4.5 years for home ownership to come out ahead. This assumes some appreciation in those five years, which could be challenging. At $2400, it’d take 3 years and at $2000, 6.
I’m pretty sure this is one of nicest units available on Friars Road.