Somehow, a huge piece of the headphone jack got stuck in the headphone port, and I can't find any

I think the headphone type is just a normal iPhone headphone. So ground, audio, mic and some of the plastic, or whatever it is, around it, got stuck in there, and it's not super deep, probably because it's almost the whole headphone jack, but it's still in there. Someone please help! I can't find anything! It's just the headphone jack tip that got stuck for everyone else!

Added (1). It's a laptop.

Take it to a professional phone repairer.

You will need to take the laptop apart which is rarely easy. The headphone jack part may even be sealed on the inside which means it may need to be replaced. There's a reason why it may cost $85 for repair of this type (because it can be tricky).

You broke this, and it seems that you do not want to spend money to get it fixed. This is not a DIY. Either get it fixed by a pro, or you are out of luck. There are zillions of DISASTER stores from people who were in your situation and tried glue, toothpicks, magnets, and other dumb ideas.

Buy a new pair of head phones

Ask somebody who repairs them how much they will charge
A. For opening the appliance and removing the jack body
B. For replacing the headphone socket.
It may be possible to get hold of the stuck piece with a pliers, side cutters or a very small stud extractor, but you can't avoid the risk of breaking the socket, so you may be looking at that expense in the end.
Don't try to remove the jack using glue of any kind, that will just cause more damage.
My laptop's headphone socket got damaged and a friendly computer engineer sold me a £5 adapter with a USB jack on one side and a jack socket on the other, so I could listen to audio on my laptop without paying for an expensive repair.