For any reader who has mangled a practically full bottle of wine by contaminating it with broken cork bits, here’s a tip on how to not throw away all that precious wine.
Of course, it can get a little messy if you’re at home and this happens to you and your full bottle of wine. If this happens, do your best to pour out some of the wine (through a strainer, ideally, to remove any cork bits).
Be patient, as the cork may cover up the neck opening, as you tilt and pour the bottle at a downwards angle. (If this were to happen to you in a restaurant, the waiter is probably going to rush to the back and use a dinner napkin to similarly guide the cork out. If anyone can confirm this, please write in!)