I had one taken out about 10 years ago.
I got numbed and a sedation. The actual procedure wasn't pleasant, but it wasn't too bad either.
When the anaestheitc wore off, I had no pain. But, apparently the dentist had moved the nerve out of the way to avoid damaging it. It took a couple of years for the feeling to return to the area. So, pain wise, you might be able to get to the party, just depends....
However, the outside of my face became very swollen and bruised which took a couple of weeks to fade and go down. Apparently they had had quite a job getting my tooth out, and they ended up having to saw it in half to get it out. But, again, it just depends. And it depends if you would be happy to go to a party bruised and swollen.
And also (ffs, you'll be wishing you never asked - I'm just full of misery about this!!!!) I got infected afterwards and it took weeks to clear. This made me feel like crap, and I stank of cloves from the dressing they packed in. And sometimes, the cloves didn't always mask the smell from the infection.
Hopefully, none of this will happen to you and you will be just fine and dandy for the party.
Good luck