Can anybody please tell me the correct ignition conversion module to use on a vintage 3 HP Briggs engine?

These were the old type of engines they fitted to rotary mowers around 1960-63. They had windup starters and oil bath air filters. The flywheel only has two small magnets that are positioned fairly close together.

As an experiment I tried a 1980s coil with the ignition sensor built in, but it won't work. I did not think it would work, but anyway, it was worth a try just to satisfy my own curiosity. The sensor does not seem to like the smaller magnets. I do get spark but it is very weak and the timing is off. I would prefer not to remove the flywheel and replace it with a later model flywheel just to suit the coil. Instead I would like to know if any of the ignition modules on the market (like Stens, Nova 2 brands) will work if fitted with the original coil?