there are some Bits that perform time & cycle functionalities, like the pulse
In particular, I don't think the pulse is suitable for your project because the 'electronic heartbeat' of this module is too fast.
Another option would be to use an Arduino.
For me, the code would look something like this:
while (no one manually turned off) {
delay (1 minute);
activate (servo);
delay (minimum time so it pushes the surface ok);
deactivate (servo);
}
I guess all depends on what Bits do you have and want to use.
The choice I made and works ok is to use 1 oscillator and 2 micro sequencers in step mode
power + oscillator + led + micro sequencer + led + microsequencer + led + servo
This circuit gave me an interval of 50 seconds