Advice Needed: Mom left brother out of will

My Mom purposely left my older brother out of her will (California) because he had stopped speaking to her for the last nearly decade of her life. As her only other child, that put a lot of stress on me because my husband and I had to take care of her in her final years without any help.

In the year leading up to her death and even on her death bed, I told him she was dying and if he wanted to reconcile, he should do it now and he said he wanted nothing to do with her. Once she finally passed, my husband and I mentioned we were cleaning out her house and suddenly he was interested in helping. I’ve told him she left him out of the will but he didn’t say much and still helped. I think he expects that I will give him something once the estate is settled.

I’m conflicted because I love my brother and don’t want to lose him but she specifically stated she didn’t want him to get anything. She didn’t even want him at her funeral. I’ve already gone against her wishes because I gave him some items from the house and a couple hundred dollars in cash we found stashed. He also came to the funeral.

Do I give him a lump sum to keep the peace? If so how much? The final amount could be around $200k which could certainly help my kids go to college. He doesn’t have kids.

TLDR: Bro wants payout despite Mom purposely excluding him from will. Should I be nice to keep the peace or abide by her wishes?