I completely agree that the UX is horrible for automating buttons, especially for Matter devices. Event entities were once invented as a solution to that issue but in its current shape they actually made the issue worse.
There is work in progress on improving the whole automations editor and flow, but that is something that is not simply done in a couple of days, it needs a lot of work.
Until then, we have adjusted the documentation how to handle with event entities.
Only solution for now is listening to a change of the event entity (do not specify the event type in the trigger) and then either use a condition on the specific type or create a choose to compare the state of event type to figure out what event type was actually fired.
That’s the only solution for now I’m afraid. The device triggers (like you see with zigbee etc) are not implemented for Matter and because those are going away, I can’t add them anymore so we’re stuck between a rock and a hard place.
(I’m the main developer for Matter in HA btw)