Headphone port damaged by headphone jack

My headphones' jack snapped/sheared while it was still connected to my pixel XL when it dropped to the floor, leaving the metal jack inside the headphone port. In my infinite wisdom, I managed to use an uncoiled paperclip to fish out the parts, and either the drop, or my attempted jack-removal damaged the port (at least, that's what I'm 90% sure is the case).

Now, when I plug a headphone jack in (and have tried numerous headphones), whenever the jack is twisted or moved around inside the port, music and podcasts stops/starts, volume changes, and google assistant tries to pop up.

There doesn't appear to be any other fault with the phone, and only occurs when I have a jack inserted, so I can only assume that the jack is the only thing damaged.

I contacted google about getting it repaired, however they have given an estimate of about £70 to fix it (not including £14.40 to ship it back to me).

I've contacted a number of other phone (and even specifically pixel) repair shops, but none of them have been able to offer their services (even the google chat-support asked if I could wait for him to check something because this isn't exactly a run-of-the-mill problem).

Does anyone know any way that I would be able to get the jack repaired? I've got no problem doing it myself (aside from not having the tools), but I didn't see any headphone jack part listed, so before I commit to just sending the phone back and dealing with whatever (imo slightly too costly) fee they charge I felt that I try and exhaust all alternatives.

Any help?

Thanks!

As an aside - I managed to get another lead for my headphones, so they 're fine (the broken lead however was not, and it was ultimatly much cheaper to buy a new one than fix the old).