Saying kaddish after the 27th psalm

In the synagogue where I pray, we follow the words of the Mishna Berurah and say kaddish as few times as possible. We don’t say kaddish anywhere where it’s permissible not to say one [such as after the psalm of the day]. Should we say kaddish after the congregation says the 27th psalm (“By David, Hashem is my light and my salvation”), which during the month of Elul is customarily said twice a day after prayer?

The custom is to say kaddish after the 27^th psalm.

Shulchan Oruch, part Orach Chaim, ch. 581, §2