I’m an electrical engineer so hopefully I can help if you still need it. Unfortunately in residential applications, most 240vac comes from running two different 120vac feeds with no neutral. It’s not the most elegant solution, but alas it works (I won’t get into the details of how/why it works or why I don’t like it)
Since both wires are hot, there is no neutral, nor a need to wire to a neutral. Each wire is 120vac of potential between hot and neutral. But the two hots are separated by 240vac, so basically one of them acts as the return for you.
Long story short, the ground/bare wire goes to ground, not neutral. There is a good chance your neutral bar is also grounded anyways, so it would all be the same, but ideally the bare wire always connects to the ground bar