I think you mean 2% commission, not 2% of closing costs.
There would also be costs associated with your mortgage. Make sure you know what they are.
If I am right, and you mortgaged every penny, would you be willing to pay 4 more months on a 30 year mortgage?
If you are paying it down faster like the good moustachian you are, it is 2 more months out of 10 years.
You will either say "only 2 more months", or "WOW, 2 whole months" or "why can't I counter something in between".
good luck. Be sure to share your decision.