Bet you wish universal income were the already the norm.<p>In any event, letting recruiters take control over your calendar is a good first step back into thinking of yourself as someone else's tool.<p>That in and of itself is a more useful signal for future employers than any clever answer you can come up with to a programming puzzle.
For my latest interview cycle I had issues with race conditions when it came to scheduling with recruiters. I summarized my thoughts on it and how I used <a href="https://github.com/niccokunzmann/open-web-calendar">https://github.com/niccokunzmann/open-web-calendar</a> to self-host my calendar.