If you're gonna get rewired you may as well install a 240v circuit, and some 120v 20a sockets while you're at it.
I'm very close to just running a cord over or devising a way to put my machine closer to a second circuit because my rental is horribly setup and both my bedroom AC and living room desktop (that also doubles as a ML training box) end up on the same circuit.
It would require an additional run of 14/2G romex (12/2G for 20A) and a single-pole breaker, but allows you to skip cutting in an old work box to add a 2nd duplex receptacle.
You could possibly replace the existing 14/2G with 14/4G which has enough conductors for both circuits.
The receptacle is the easy part, running the new circuit is the hard part.
Or you know, install a new 240V receptacle.
If I have to:
1) Run wire
2) Get a bigger breaker box
3) To do it legally, hire an electrician and maybe get a permit
Replacing the receptacle is like, <1% of what's involved there.