Katy Perry is in a strange position in the world of pop culture, where relevancy is often fleeting.

At age 40, Perry is more than a decade removed from her prime chart-topping form but way too young to tap into that nostalgic sweet spot like Madonna and Usher are mining.

So her largely sold-out “Lifetimes” tour stop Wednesday at State Farm Arena was a disjointed but endearing mess of a show that attempted but failed to breathe much life into the cuts from her most recent album, the tepidly reviewed “143.”

The 130-minute, 26-song set did cover almost all her big hits, sometimes in frustratingly brief medley form. (There was a perfunctory snippet of “Last Friday Night” and a way-too-short version of “California Gurls.”).

She did bring back her breakout hit “I Kissed a Girl’ with cheeky

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