Breaking the into MBB with PhD in Industry with >5 year experience

I’m a Senior Scientist at big Pharma in research. I’m looking to pivot into life science/biopharma consulting at MBB or some of the other botique life science firms like LEK. What is the best path for it? Considering Berkeley HAAS EWMBA to build contacts and break into consulting as most Advanced degree positions at these firms take only fresh PhD or recent graduates. I have deep wet lab experience, AI/ML training and 6 years in Research in big pharma