what the bank could do is announce a period of time, where you'd get a much higher interest payment for keeping the deposits in.
So at least a portion of people would prefer getting the interest payments, rather than withdraw, and thus give breathing room. The bank might suffer a loss in the short term from paying out the interest, but would not collapse due to the (now non-existent) run.
So, in cases where you think this is a risk, it's best to move swiftly.
They are public, you can see their filings at the SEC. I'd guess some hedge fund paying attention noticed this weeks ago and just made a killing.
These aren't the actions of a healthy bank. Of course, their problems are now much much worse as people got wind that the bank was in trouble.