Ask was filmed 3 times (with Morrissey changing outfits from black to white - hence your image) and 4 other songs were mimed also.
If you watch both main YT clips I think you see everything minus the 2 extra recordings of Ask and There Is A Light...
Which is here:
Better quality version of the broadcast Ask:
I don't think I've seen the full 'gig' that was broadcast - only the YT bits/San Remo special. They got good use out of the white jacket images thereafter though (even if not shown on TV).
Why they filmed Ask 3 times is a bit confusing - IIRC, they were promoting Shoplifters... at the time. Anyone?
I don't think there's much to it other than after 2 years of the 12" B-side version existing, someone decided one of the other takes (with the extra part) should go on The World Won't Listen as a nice addition to make it a bit more unique.