Is it ok to put a little bit of cereal in a 6 weeks olds bottle at bed time?

ok, so I know they say not to put cereal in a bottle... and not to feed cereal to a baby until they are older, but here is my situation... i am a recently single mother of 2, and my youngest is 6 weeks. I am doing EVERYTHING on my own and was not expecting this. The sleepless nights are catching up with me, since my 6 week old wakes up every hour an a half to 2 hours at night. We're in bed by 10 pm and up by 5 am with little sleep in between. I have tried everything... bedtime routine, baths, white noise quiet time, sleeping with me, sleeping on his own, swaddling, not swaddling.... literally everything! I have had some advice to put just a little cereal in his bottle at bed time to hold him over a little longer... any advise? I want to do whats right for my baby, but I also need to stay sane in the process?? Thank You!!