Speed of light hammer throw: Query about the speed of light: Can someone answer please.

Fact 1: Momentum increases as either mass or velocity increase.

Fact 2: An object approaching the speed of light increases in mass.

So, if a person swings a ball and chain round in a circle, like the hammer throw, at a speed approaching the speed of light, the ball will increase in mass but would this increase in mass make the ball move slower or faster?  If fact 1 is correct then wouldn't an increase in mass result in an increase in the momentum of the ball and, if not, why not?