HELP COPING WITH STEP DAUGHTER

Hello, I am 24 years old. I have my own two daughters, (one from a precious relationship) they are 26 months old and 3 months old. My step daughter is 38 months old and from my second daughters dads previous marriage.

Things were fine, love and happy when I was pregnant and before my pregnancy. My SD was a loving child, loved to play with my daughter, always told me and my daughter she loved us etc.

After I had the baby, she was still the same normal girl.

Fast foward, baby is 2 months old and my step daughter starts hitting my oldest daughter, crying over everything. Doesn’t want me to bathe her, (I normally did this with other daughter in tub), cries when I tell her it’s time to eat, cries when I ask her to do something or has a full blown meltdown saying “I wanna go to mommys”

Now, BACKSTORY-

Dad sees his daughter every other weekend only. The last time I went to pick her up (I get off work earlier so I grab her) she stood outside my car for 12 mins screaming crying, hysterically. But this was the first time I had gotten her and she acted that way. The next time I got her same issue.

These last 4 visits she has lied saying I hit her if I ask her to do something. If breakfast is ready (dads still asleep) I ask her to sit down to eat, and she has a meltdown upstairs and tells dad I hit her. I told her to stop playing on the stairs, same situation.

Mom has moved on, and her and dad divorced 2 years ago. Mom has a new bf and he has his own son. Now she’s not the greatest cup of tea, she took my now SD away from dad for 4 months, packed everything at the house, took it, lied saying he abused her, had him arrested and then when court came she told the judge she lied and they finalized the custody. (She did this cause she got caught having an only fans.)

I’m not sure where my step daughter has learned this behavior of lying, but I don’t appreciate it. She now goes home and says I hit her. (Her mother will send texts over saying this happened.)

I need advice and help. I’m starting to be at my wits end and I don’t want this to ruin our relationship. I have a hard time communicating with my SD and just leave her alone when she’s with us because she doesn’t want to be around me. She says she doesn’t love my daughter anymore and she says she never wants to be with us now. What are the chances moms making her say this stuff?