Chosen Solution
How do I replace the charging port? I was given 2 options: Pay $500 for a replaced motheboard or buy a new laptop. Laptop is in perfect health and the battery is just fine. I have an I.T. background, but don’t know how to fix this. P.S. Time is of the essence! Please help! Update (12/10/2020) Update: My hunch was correct.
(This S.O.B. is finally out!) The port had gone bad. I am still not sure if it was the connectors, the wires, or both. Thank you @nick for all the help. I REALLY appreciate it. If anyone has a similar issue, try this first. It will save you several hundred dollars. Also, the guide on the website did not cover the fact that you may have to remove the heatsink so you can remove the screen and motherboard like I did.
On this model, the power jack is modular but the display assembly will need to be removed to gain access. If you look at the battery replacement guide I do not see the jack being soldered to the board on this model. You can usually tell if you know what to look for. However, once the display is off the rest is relatively painless. The iFixit guide can be found here, but HP also has a diassembly video here. The HP Spare# (PartSurfer) is 801513-001 and they’re easy to find on eBay.