Starting asymmetrically with three dynamic singularities of equal mass under gravitation alone, can one predict whether any such bodies would ever collide?

The system radiates gravity waves so eventually there is going to be a collision.
It might be that one of the three is kicked out of the system but the remaining two will spiral into each other eventually.

The system radiates gravity waves so eventually there is going to be a collision.
It might be that one of the three is kicked out of the system but the remaining two will spiral into each other eventually.