Manny of us use this type of battery-
https://www.ebay.com/itm/222528177276?mkcid=16&mkevt=1&mkrid=711-127632-2357-0&ssspo=FmWitaJLQCa&sssrc=2047675&ssuid=_-YLkpExSsW&widget_ver=artemis&media=COPY
You can repair your coil using this coil-
https://www.ebay.com/itm/232218550107
using this procedure-
Video – 1 https://www.youtube.com/watch?v=e2vxDqF_OEU
Video – 2 https://youtu.be/xwbTlC1xIlA?si=_Yfb1wQD6iV513Tx
Tubs.
Mine is just over 5″ how would this work