This is great advice. I would add: don't wait for them to coach you, tell them what your strengths are and how you've had trouble finding a job at big tech companies. Let them know you're open to smaller and lesser known tech companies and that you want to be coached to help you with the interviews. Because you're striking out at the interview stage and you know you can perform better.
EDIT: based on the first reply I got I want to revise this slightly. Don't go into too much detail about who rejected you or how many times. In fact keep the details short but make it clear you think interviewing is a weakness they should coach you with