Starting a new job @ 31 weeks

So my husband & I have been struggling financially for SEVERAL months now because I have been without a job & he is a server working for shitty tips. I'm 7 months pregnant with our 2nd child & want to be financially stable.. So I've been trying to find work for some time now with no luck, but just recently, I was interviewed, & offered a position with the company. The start date for the 6 week training puts me right at 31w2d & i did not discuss my being pregnant in the interview because I am not obligated to. I plan on working right up until my scheduled c-section & going back as soon as medically cleared or feel ready. I will be able to get short term disability which I will pay Into each check & be able to take it for up to 11 weeks with partial pay. I'll be getting paid weekly & it will really help us not struggle to pay rent & help us save up until the baby is born. Am I wrong for taking the job without being up front? I know I may not have been considered if they would have known. How do you think they will react when I tell them?