I over-complicated the requirements a bit, as far as I remember 3.3V is always on.
Attached is a simplified schematic that grounds the switch input 200ms after power-on.
Some explanations for beginners attempting to build something similar:
Since the machine uses the HT46R47 MCU (
http://www.gaw.ru/pdf/Holtek/uc/46r47.pdf ) Philips probably saved cost and used the internal "pull-high" option instead of an external pull-up resistor.
The MCU datasheet shows the part is able to function from 3.3V to 5V and the pull-up values for that voltages are respectively 60k and 30k. Circuit function is independent of pull-up value, if above 10k.
If the chip is indeed powered up at 5V then the on-time of my circuit is reduced to ~140ms but should still be enough. Human microswitch press time is usually around 200ms. If a longer delay is needed then C1 or R2 can be increased.
Any generic npn transistor can be used.