That is between you and the broker. I would just consider: how much effort before you hired a broker? Could you get this deal (what you thought you signed of what you got) on your own, on the car you wanted? You have definitely been inconvenienced, but I would take it in the larger perspective.
Most likely, the only person who handled it was whomever put the deals together (the erstwhile finance manger last time, whomever this time). They are printing and packaging the paperwork. as an aside, I always have my credit frozen:
Entirely up to you. My message back would be something like “I appreciate everyone’s quick attention and efforts to resolve: what would put me at ease is an email that details the terms of the paperwork you are sending me to sign, along with the tracking number so I can track and immediately sign and return”.
I would give the GM a day or so to reply: some work weekends and are off M/T, rarely they work bankers hours (daytime M-F) and come in to multiple fires. While I don’t dispute your characterization, a fraudy stealership would not be so responsive to make it right so quickly. They are making an effort, get the terms in writing, give them a chance to get back to you (your email asking for details might offer times the next 2 days you will be available to answer a call from GM). Most importantly, get ready to shake this off and enjoy your new car. Don’t let this sour the best part: getting high on new car smell.