> You have to find the same event in a lot of other books beyond Matthew to be able to find a tiny whiff of historical information

The same event is described in the book of Mark (10:32-34) and the book of Luke (18:31-34).

There are two other predictions that appear in all three books:

Matthew 16:21-23

Mark 8:31-33

Luke 9:21-22

Matthew 17:22-23

Mark 9:30-32

Luke 9:43-45