Inheriting Leased Vehicle - ?

I have an insured who's father passed away. The vehicle is leased in the now deceased dads' name & the children are figuring out the estate.

If our insured wants to take the vehicle, I'm guessing they need to discuss that w/ the lease company? What happens in the meantime? Do we just add the car to their policy? What if they drag their feet & never get the car transferred?

Any help would be appreciated.

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