The Xbox Series X is a fairly new system released in 2020. And if you happen to have warranty, it does not cover physical damage to the console. HDMI ports are catagorized under physical damage. That is not to say that we have not seen people get replacement through warranty, So check if your warranty is valid for your specific case first. 
We are here to help you if all fails. we replace thousnads of HDMI ports a year and our HDMI port replacement quality is unmatched. If you would like to get your XSX / XSS system to our laboratories for repair please click on the start a repair below on this page to continue.
Just see the quality of our repairs for yourself here:
Watch full repair video here https://www.tiktok.com/@techdevicerepair/video/6963739729384836358
More on our HDMI ports:
We first start by disassembling The system down to the motherboard, We remove and replace the broken port, Clean your system internally and reassemble and fully test. All HDMI ports are microscopically inspected and installed using our unqiue techniques for refurbishing the Xbox series x system
