I posted one of my more "brilliant" post in reply to your question several days ago. "Apparently" it never got posted or something else happened.
Anyway, put a Trombetta 4 post heavy duty solonoid in, works, would post the part # but have to remove battery, stick my head down the hole with a flashlight and mirror.
Have several 12 v solonoids, some 3 some 4 posts, older than most people on this forum but all tested good,except one.
Got another question; keep shearing flywheel keys when cranking; to soft?, other problems? They not B&S keys, going down to Ace hardware for some B & S keys. Will be back