Probate Court in Connecticut?

My grandfather’s longtime partner passed away recently and named my brother and I as her only heirs to her home and assets. She did not name any executors. She states in the will that my grandfather is allowed to live in the residence as long as he wants, and that if her only living relative, her sister, contests any of this, she shall have no standing. The issue is that she wrote this up in a rehab home while she was sick. It’s not on a proper form and wasn’t drawn up with a lawyer, but she had two witnesses sign it and it has been stamped, signed, and sealed by a notary public. This is the only thing we have stating her wishes. Would it be accepted by a probate court?

Dont worry guys, I am seeking actual legal advice too, but I don’t live nearby so I was hoping for some guidance before I get up there!