Thanks, DaveReidUK. So it seems that it wasn't a "scale model" at all, it was a full-size mock-up. Very definitely non-flying!
I wonder what happened to that? With a reasonable number of actual Concordes now permanently grounded and exhibited at widely dispersed venues, it might be thought that the impressive-looking mock-up could be scrapped, but I would imagine that there would be some interest in preserving it for public showing.