They do give it one mention but only as part of the solution rather than the cause, and even then the Russians are portrayed as making it up as they go long:
Khrushchev began to grope for an exit. He was helped by the White House, which opened a line of secret communication via the Soviet ambassador. In his usual way, he effected the retreat without planning and in haste. It was messy and humiliating. While the world reacted with a huge sigh of relief, Khrushchev took pains to paint his ignominious defeat as “victory”. Again the White House helped the Soviet leader by agreeing on a secret trade-off: it would remove obsolete US missiles from Turkey.
The actual, more prominent, role of said missiles is mentioned in the comments but the Tavistock crew are always busy on those threads that they actually leave open.