Ironic joke at the end of the Cuban Missile Crisis episode

One of the producers must have a sense of humour. At the end the Cuban Missile Crisis episode, the hawkish USAF general who is a thinly disguised Curtis Le May, offers Kennedy a cigar with the comment" Castro's finest." Amusing. Prior to the resolution of the CMC, it was almost certain that Cuba would have been invaded or worst case, destroyed by the Americans. Here is Kennedy smoking one of Cuba's main exports.

By the way, wasn't there a trade embargo in effect by 1962?