By and large, that jack is now going to be useless. If you wanted to take the system apart and pull out just the front i/o board, you might be able to dig it out, but there might also be collateral damage to the port in doing so that would render it just as useless as it is now. So your call. There is no magic method for fixing these kinds of things.
Hi have a small problem part of the headphone plug is broken and still inside the audio jack which is front loading on my computer it's a Dell desttop.