Don't understand the last answer at all. One cylinder is working, so the carb and fuel system must be OK. You've eliminated the plugs (side-to-side swap), so they're OK. Changed coil so (assuming new coil OK), it's not that.
That leaves some mechanical problem with the duff cylinder. A compression test would be my next move. Briggs don't publish figures, but put your finger over the hole (not easy I appreciate) and crank the engine. The pressure should easily blow your finger off the hole. If it doesn't, the compression is too low for reliable ignition.
If compression checks out, start looking for manifold air leaks. If compression is low, check out the valve seats (bore wear is unlikely, and engine would smoke if so).
Hope this helps.
phil_saunders@bigfoot.com
Phil Saunders, September 2008