justa6;
You might not need a
oil cooler; because a dry sump has more
oil volume and the lines and sump are in effect an
oil cooler.
BUT: Also DV; make sure to calibrate your oil sensor; just because it reads 140 deg? that means absolutely nothing; work on double checking and verifying the actual temperature.
Sensor and guages are notorious for leading one on all sorts of wild goose chases .
gn