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The actual state of all binary sensors if “on” or “off”, no other options are allowed. The frontend representation of those states can be other preassigned values. That representation is assigned based on the device class. You can change your binary sensor to any of the available device classes if you prefer its frontend representation, but you cannot customize the value in any other way.
If you want the state to be something different than “on/off” you will need to use a sensor instead of a binary sensor.