Arriving at 3:15 means maybe out at 4ish after immigration and luggage.

The bridge openings are 3 / 4 / 5 and causeway 3:45 and 5:15
So Simpson Bay will be very slow, so hopefully you can get to the causeway without the bridge back up extending that far and go thru Cole Bay which will also be busy
Regardless I don't think 45 minutes is doable, would budget an hour for sure
Others?
J&B