They gave you a cold response to real questions. Imma guess you do not have a pump. Which means you cannot pump in their pump room. You should not have to use one of theirs (yuck) or go out an buy something that jury duty pay does not even cover.

If you have an email address for them, tell them flat out: new infant (I'd skip the 12-w.o. part), no daycare/sitter, no pump, no availability, please push me back 3 years. Keep it that simple.