If you're on here, there's a good chance you have more connections in the industry than you realize. The best way to avoid being AI-filtered is never have your resume get fed to the AI in the first place, which means applying through back channels.
Recommendations from trusted employees are valuable not out of nepotism or some other sinister force, they're valuable because it acts a pre-filter for the kinds of fuckups that no one would be willing to recommend.