But a TR is a first ascent, it's just not a very good one. It's not a lead, and thus not a "real" route, but it is an ascent.
And where, as here, it's done accidentally (they thought they were on a different, already existing route), and the climbing is pretty poor (lots of that sun-baked looseness) and not worth bolting, it should probably stay that way.
Your memory of the route is pretty good, although the difficult part is significantly more than three moves.
We'll call it then "A Play in Three Acts."