My go-to used to be GetHuman[0], where they ask your number and the company you want to reach and (I'm assuming) robotically spam their customer service line to get any human on the phone and call you when a human is reached to connect you. I've received a call as late as 30 minutes after submitting a request on the website. When I pick up, I have to speak right away because it seems like the customer service rep has been on the phone for a few seconds.

Note: Sometimes that rep is not from the department you want to reach, but I've found their call transfer happens faster than calling via the typical process. I also haven't used the service in over a year, so I don't know how much this process has changed.

[0] https://gethuman.com/

Once it becomes well known and the steps get easier they’ll change the procedure. The whole point is to make it obscure and impractical.