Adding another PC with a wired Ethernet connection would be easiest by adding an Ethernet switch, assuming you have another outlet. Depending on the network speed, this can be really cheap. I've seen Gigabit 8 port switches for $20 retail. 10/100 Mbit switches are cheaper. Higher speed network switches are more expensive.
Adding a phone line could be more of a problem. There are basic telephone jack splitters if you want the new desk to share a phone number with the fax. See
https://www.amazon.com/phone-jack-splitter/s?k=phone+jack+splitter . This would act the same as using a Telephone handset jack that is on some printer/fax machines. However, if the person at the desk picks up the extension before the machine does, that individual would have to manually start the Receive Fax process on hearing the tones. Similarly, the person using the phone would have to wait for the Fax to end its call to use the phone line for anything else. You could also use a junction box to split the line outside the wall jack.
Using a junction box might also let you create a L1 and L2 wire from your phone service to that jack. Then you could use a specific L1+L2, L1, L2 splitter at the jack,
Amazon.com: C2G 41062 Two Line Telephone Splitter L1 + L2: Electronics . Then each phone would get its own number. This depends on how your office adds phone lines.
I hope this helps.
Cindy Wells
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