Ok, a standard ‘useless box’.
The doll element had me confused!
If you’re happy with the PP3 battery, that’s fine, most if the old-timers here would suggest a bundle of 4x AA cells in a holder for more current at the right voltage.
I’m guessing from your drawing, the doll is simply on a spring or is otherwise independent of the box, latches and servos. That’s a mechanical issue.
It’s probably not worth going much further here, because there are countless tutorials and build videos for these - both single and multi switch versions are out there in the tens.
What we can do is steer & help you through the challenges you may encounter, or to enhance the code when you’re on the way, and you have it basically working.
Enjoy!