OK, likely the same engine as the one on mine. I would go with a B&S 591459 Armature-Magneto ("ignition coil"), a Stens 520-441, or a Rotary 9293.
Just as an FYI, Equipatron sells the B&S OEM part for $40.55 (plus shipping) and Amazon sells the Stens part for $40.89. Also, Amazon is currently...