To the OP
Pg. 8 of the rules reference PDF under Overlapping 3rd bullet point.
If a ship must execute a maneuver at a reduced speed
due to overlapping another ship, it is allowed to overlap
the maneuver tool in its final position.
Being able to put the tool on the right side of the ship and click it to the left can give a shorter deeper angle that may allow for a ship to avoid collision on further turns.