Okay this should be it. I left the inside gallery just to show the Points and then summed them.

What you need is to use GroupBy function and then you can use the Sum function to add up the Points table it creates
So your items property turns into (replace fmlDistinct with your 'newcollection')
AddColumns(
GroupBy(
fmlDistinct,
Name,
Points
),
PointTotal,
Sum(
ThisRecord.Points,
Points
)
)
Doing it this way lets you use the collection you made and simply add a new column that totals the points for the person.