At index 11:22 the reflection of a teleprompter screen is visible on the glass table in front of Sisko.
The hearing as a means to delay the extradition of Jadzia Dax in order to find evidence for her defense would be unnecessary. Even if the Klaestron IV representative was correct that they could conduct a "unilateral" extradition, the assault on Bashir would provide Sisko the right to hold their entire team for trial, rendering moot the need for the hearing since they could not transport Dax while in custody for assault.