The race to invent television was as engrossing and dramatic a story as any that has aired on TV. It’s told in the Town Players of New Canaan production of Aaron Sorkin’s play “The Farnsworth Invention,” running three weekends from May 6 to May 21. Who will unlock the key to the greatest innovation of the 20th century: ruthless media mogul David Sarnoff, or self-taught farm boy Philo Farnsworth? In a highly innovative production, TPNC uses superb actors and a…