I don’t have a B24 (refuse to pay that much for an instrument of less than 2 octaves).
I did look at my M37C and it also has the bladder.
Looking at the inside of the reed cover the bladder only covers a small straight drilled hole (about the size of the screw holes.)
I covered this hole with a piece of duct tape and reassembled.
It seems to play fine to me?
I Don’t know if the B24 has the same one hole construction but it’s a simple non-destructive, easily reversible experiment to try.