Flu shot and antibodies 7/8 weeks

So

I’m 7 weeks +4 and I’m planning to get a flu shot tomorrow because a severe virus is circulating in my area right now. I read that you can pass antibodies to your baby if you get the shot and the baby will be protected after birth for several months! My question is, can getting a flu vaccine this early in pregnancy result in passing antibodies? Or will I have to get the shot again during spring flu season later in pregnancy again in order to protect my LO?