The name of someone loved does not become unwelcome simply because saying it brings tears.

People avoid a name to protect someone, and the effect is often the opposite. The person grieving usually longs to hear it, because silence makes it seem the whole life has been filed away by agreement. Tears are not damage. They are what remembering feels like, and they can arrive alongside real gladness that somebody else still says the name out loud.

Use the name, and tell a small story that has nothing to do with the illness or the ending. If they cry, stay where you are and do not apologize for it. Ask what they remember, and let them decide when to stop.