Auxiliary power supply once the push pull starts - what powers the chip to provide the gate drive at cold start is not shown / not drawn / not provided in the schematic - likely an unfinished "design" ...
Using the winding only to power the feedback opto coupler doesn't make sense.
But I presume you can read schematics good enough to see that the driver power supply is not shown in the drawing. That's more a functional block diagram than a real schematic.