The following is not advice, just my comment.
The pic is right from the panel.
If this was me doing this, I would add 2 single pole breakers. The green is the breaker I already have. The red is the 2 new breakers. Yellow is 2 new wires.
That does not mean you or anyone else should do this.
I think of the 2 yellow wires as "plus 120 volts" and "minus 120 volts" . Between either yellow wire and neutral (or ground) one measures 120 volts. Between the two yellow wires one measures 240 volts.
The service is single phase center tapped. The pole transformer steps down the 30KV or whatever to 240 volts, and the transformer also has a center tap on it.
Good luck, don't call if anything goes wrong.