The Rummy we play is the same as you describe, you can keep adding onto your or another players cards.
So that’s one point for you.
Judy 1
Judy’s daughter 0
Lolo that’s what I thought! I’d never heard of the “run” ending with one add-on. I’ll tell her.....she wouldn’t dare challenge the wisdom and knowledge of Lakeside Granny!
LOL, cute!