Stateless or a switch with a third state

Configuration
1

So, I’m still new to this…
I have a wall mounted switch, which sends an on or off.
In HA it appears like switch with the states on or off.

But I want it to actually act as it has three states, unaffected/on/off.
I’m not interested in the actual state, but when it is pressed.

As it is now when I press ON it switches on, but when I press on again, nothing happens.

Edit: I spell like rabbit!
This is because the state doesn’t change (on->on).

2

A simple exapmple:
I have one switch and two ligths.
If the lights are off and I press on, the first light will turn on.
I I press on again, the second light will turn on.
If now both lights are on, and I press off the second light switches off
And off again the first light turns off.

As it is now nothing happens when the button is pressed for the second time.

3

One word - automation.