Formula question

I'm just looking for other mama's opinions. Do babies sleep better with formula than breast milk?

I'm really just at my witts end and burned out. My babe hit the 4 month sleep regression at 3.5 months and hasn't recovered, she'll be 5 months in a couple days. She went from waking once to waking every 1-1.5 hours. I'm utterly exhausted and have been getting unsolicited advice from her grandmothers. Their newest thing is they are both pushing hard for us to give her formula. Daddy hopped on board because the alternative is to sleep train her and he doesn't "feel ready". I honestly have no fight left in me, so we bought a can. The mom guilt is so real, I just want some other opinions. If you made it thos far, thank you!