https://www.youtube.com/watch?v=-rnQHhMxUaE

The 12 volt timer relay requires  two power sources. The first one's connected when the press switch is closed in series through the oscillator switch. This starts the timer. there are three logic pins. K-1 sets the function then K-2 and K-3 set the timing first for the delay of the onset of power, then  the duration of the pulse.

It's possible to extend the power pulse along with the output duration, over the duration of the spring interval. This addition of this remaining componant will finish the build.

Here's a closeup of the timer relay:


https://www.ebay.com/itm/DC-12V-Digital-Delay-Time-Switch-Control-Timer-Relay-Module-PCB-Board-Z6P4-/352066019812

Here's a video of the relay powering a tiny D.C. fan for exactly one second. This timer relay can trim the power pulse to a tenth of a second, inside the pulse width of the spring switch. Trimming the power pulse is an inverse approach to extending the output pulse ratio:



https://www.youtube.com/watch?v=PTZPugkKrp0

Video of the oscillator pressure switch triggering the timer relay:

https://youtu.be/xqCJizD0xeE