There are multiple scenarios we could postulate.

If the expenditure was equal to 300 million as you suggest, then the return would equal a 2 or 3 factor using the 600 or 900 million as stated based on taking the company private.

I would suggest an expenditure of 100 million. perhaps an equal number of share, averaging $1.00, and waiting for the share price to increase to $5.00-10.00 and enjoy a return of a factor of 5-10.

From a market perspective, I see public company's more successful than private in most cases.