i was amazed that this japanese twitter user has figured out 2005 beak repair! (link to OP & original post) they explained in another comment that they use silicone rubber used for sealing/repairing bathroom tiles for the beak! this is all just google translate, but i feel this is REALLY valuable bc ive never seen such a simple but effective way to repair these beaks. details below:
seriously need to test this... this is HUGE