I was in similar situation once. Had merged across two lanes of 45mph busy traffic to get in LTOL. Was only driver in LTOL, traffic lights turned red 4-way. Fire truck came and to my concern they also wanted to turn left into the tiny side street. I edged to far left of LTOL. Firetruck very closed passed me at speed and turned.

In retrospect the better action would haven been for me to complete my left turn against the red light and pull over on the side street.