The Forvo pronunciation by August is good (when kort means card), the Downunder1au one is bad and Voytashek, well – he is just doing it wrong.
The "Kan jag betala med kort?" phrase examples by pernys32 and Kahn1 are both correct. Kahn1 speaks with a typical Finland Swedish dialect, nevertheless the pronunciation is good and correct.
And as a reference, in the phrases section of the Forvo page micahs says "kort gata" (short street), where she correctly pronounces "kort" the way it's done when it means short.