Isn't this what lawyers are for? Seems like he's just spinning his wheels trying to get through at the customer support level.
https://en.m.wikipedia.org/wiki/English_rule_(attorney%27s_f...
Is it a guarantee? Absolutely not. But it can work, and if the amount of money involved is too small to make involving lawyers worthwhile, it's often your only remaining option.
How else would you suggest handling the situation of needing to recover $7000 that a company owes you but they refuse to acknowledge your existence?