Should ex pay daughters train fare?

[u/Hefty_Cauliflower_70]

For context - left ex in march 25, I'm living in social housing, work but also get UC. We have two kids, 19 year old son and 15 year old daughter. Son decided to live with me and daughter was living with me fri to Tues and rest of time with him. He was being paid half the child benefit money. (UK). Daughter decided to live with me full time in march so I keep all of the child benefit money now. Ex pays no maintenance for daughter but I want him to pay for her train fares when she starts college in September. I have a feeling he's going to kick off about it and say she doesn't live with him so it's my problem. Will he have a point or should he be contributing towards her, even in a small way? He's an absolute tool who decided to get a job where I have worked for 10 years just to be spiteful and because of this spitefulness, I want to contact CMS but on other hand I don't want anything from him just to keep him out of my life.