I had a cross country coach who both preached and lived by the line “Run through it.” Have a cold? Run through it. Cut your hand off? Run through it. Sprain your ankle? Run through it.
This same “wisdom” can be applied to a hangover. Go out and get some exercise. This might not be ideal if you can’t move, but just getting the blood flowing can go a long way towards recovery, especially if you have things you need to be doing today (aka work).