Just wondering if anybody on here can help me?

I’ve recently picked up a Shimano Deore LX ST-M570 Shifter/Brake Lever combo with a broken brake lever (the hook at the end is missing). I have a spare Deore (I think M410) brake lever and was wondering if it was possible to swap the lever parts over? Unfortunately these units don’t use a bolt or circlip to allow removal of the lever part. Any ideas?

Not too fussed about appearance as its only going to go on my winter hack bike.