That looks like an awkward one, with so many closely spaced taps.
It could well be possible to buy an appropriately rated 24-0-24V transformer, remove the outer tape, and solder wires on at the appropriate points on the secondary winding. The primary winding is safely insulated underneath the secondary, so wouldn't be compromised.
You would be need to be careful not to accidentally create any shorted turns or melt through the primary - secondary insulation. Glass fibre tape would help.
P.S. You didn't say, but presumably the primary winding has failed on the existing one. That would be a much harder repair.