Which law is violated if you enter the intersection when the light is green and exit it when the light is red?
Then the laws in Pittsburgh are just bad. Not a design question at all.
Here you oull into the intersection on green, turn slightly ti a big white cross on the road for exactly this purpose and go when it is clear. This happens when the oncoming side has red, but before the crossing cars have green. The time between red and green is long enough for all two or three cars to clear the intersection.
Get better laws i guess?