You lost a rather close match-up where the TO indeed made the difference.
In my opinion you would've more chances to win when playing 2-3 zone, he took 13 offensive rebounds and he was playing look inside.
With an inside focused defense he had a hard time trying to score, less off rebounds and the number of steals you took with your 3-2 was only 2, so you won't miss those by playing another defense.
Climbing the BB-mountain. Destination: the top.