Not the guy you’re asking, but this can be done quite easily with wifi power plugs that measure electricity use. I’ve done this for my old washer and my current dryer.

First you need to hook the power measing plug up into home assistant and collect some data for various washing programs, then you can make some automations that trigger on specific power consumptions.

A lot of people have done this, here’s one: https://www.homeautomationguy.io/blog/home-assistant-automations/washing-machine-notifications

(my old washer died and now I have one with wifi and don’t need the wifi power plug anymore)