Twilkes
Guru
OP replaced the STI and then opened the 'hatch' of the old one "Then I saw a screw on the bottom of the casing and thought it can't be that simple, but undoing the screw allowed the half of the casing to come off, showing the ratchet mechanism and a wee stowaway."
@Zohair - have you tried this to hoik out the broken cable end?
Yeah basically this, if there's an obvious screw on the shifter, undo it and see what comes off.
If the case comes off you might be able to unjam the mechanism.
If all the bits of the mechanism come off then don't undo that screw.