AITA for refusing to let my stepdaughter live with us

I (28f) have been married to my husband, (42m) for 2 years, together for 4. He has 3 children from a previous marriage, Lucas (18m), Lily (16f) and Kayla (13f). While I do not dislike children, I don't want children of my own, and I made this very clear to him when we dated. This wasn't an issue because he only got his children for a weekend a month, because they live far away from us. I made it very clear that I didn't want to take care of his children, apart from the occasional weekend.

For the past 4 years I have tried my best to be a good stepmother, and have built a good relationship with my stepson Lucas and stepdaughter Kayla, but I am unable to build a relationship with Lily. I've tried to take her out for girls days, shopping sprees and fun outings. She either refuses to go or complains the whole time. The last straw was when I got her something from her wishlist last Christmas ( a bracelet that she wanted), and she threw it away, saying that I got her the wrong one and I was too poor to understand the difference. She then accused me of only marrying her father for his money. I usually don't let her comments get to me, but this was the last straw. After this I stopped trying to interact with her and maintain my distance.

The truth is I didn't marry my husband for his money. We both work in high paying tech jobs but I inherited a lot from my parents. I even agreed to pay for part of Lucas' tuition.

Anyways, Lily and Kayla want to move to a better school the next school year. The school is closer to our home than their mother's so my husband said that they should live with us. I don't mind living with Kayla, but I don't want to be around Lily. My husband goes to work 4 days a week while I work from home so I'll constantly have to be around Lily and I refuse to do that. I dont mind being around Kayla, but not Lily. I told my husband all this and he called me an ah, and we've been fighting ever since. He says i need to step up as a stepmother and I cant let a teenager hurt me. Lily has been in tears, saying it's not fair that I want Kayla but not her, and her mother is on her side. So am i the asshole

**Edit: to all the people saying i signed up for this when i married a man with kids, my husband led me to believe that he never wanted full custody of them, and if anything were to happen to their mother their aunt would get custody. He has never been close to his children and has said he regrets having them. On the weekends they were with us I spent more time with them. His reaction has me blindsided. I have suggested therapy and family therapy but my husband is very against therapy, so that is not an option. I have asked husband to talk to Lily but he doesn't want to get involved. If her behaviour changes, even a little, I have no problem letting her live with us, but the fact that husband and his ex refuse to talk to her about her behaviour and the fact that i need to be around her all day is terrifying to me. Both of us come from a culture where it's normal to marry a man older and better settled, so our age gap didn't come as a shock to anyone. At the time of his first marriage he was 23 while his ex was 18

**Edit 2: My husband leaves for work at 8 am and comes home at 8pm. The kids are in school from 8 am to 2 pm, so i have to parent them alone from 3ish to 8 and that is not something I want to do. When we got married I said I wouldn't take on any parenting responsibilities and I stand by it. He refuses to work from home like me or get home sooner.

**Edit 3: I didn't tell Lily or Kayla any of this. I told my husband who told his ex who told the kids. This was meant to be an adult conversation. I know how this information could hurt Lily

**Edit 4: For people saying i shouldn't have married a man with kids, i was led to believe by my family that he was the best I would get due to my age. Most women in my community are married by 21. We got to know each other and I fell in love with him, and he assured me he would support my career and i wouldn't have to take the typical role of a mother. I knew that if i didn't get married soon my family would isolate me. I was coerced by my family and lied to by my husband.

**Edit 5: Some people are saying NTA, and some are saying YTA. It's quite obvious that those saying YTA don't know much about other cultures where honour killings and forced marriages exist. In my culture, and actually most cultured outside maybe the US and some European countries, children or teenagers dont get to say whatever they want because they're hormonal or whatever. In my culture men having multiple wives is common, men marrying young women are common, men marrying women their daughters age is also common. Most children my kids age have multiple mothers, and they know they must be respected. Learn something about other cultures before you say such harsh things.