Purchased an old home and had a drain under the basement floor collapse? looking for advice.

My kitchen sink 1-1/2 inch pvc that leads to a cast iron pipe under the basement floor (House built in 1900) has collapsed (not sure if thats the correct term. Basically the house sat empty for 7 years as the owner died and the children didn’t want to part. We’ve now had it for years with minimal issues just basic clogging here and there.

we moved my wifes mother and grand mother in and they dumped grease into the drain. I’ve tried snaking, Lye, and so on. Nothing is helping. This drain is solo nothing but a vent pipe attached and it has a clog that is 100% letting nothing through.

I have on the other side of the basement brand new plumbing that was ran for a new bathroom.

The question I have is would you try to fix the existing drain or run a new drain to the new plumbing and bypass the existing plumbing due to the issues?