My only Cadet Major has the front sight mounted and loath to drift it out specially - however, whilst not a micrometer measurement, the base of the dovetail appears to be 3/8 inch.
No point looking at the standard cadet as they have a much longer dovetail. However, the front sights on the pre war BSA's also appear to have 3/8in dovetails so a broken one might suit.
Hope that's some help