[binary_sensor] Remove deprecated config item publish_initial_state (#5356)

Co-authored-by: Jonathan Swoboda <[email protected]>

Author: jesserockz

content/components/binary_sensor/_index.md

@@ -80,7 +80,6 @@ Advanced options:
 - **trigger_on_initial_state** (*Optional*, boolean): If true, any applicable triggers will be fired when the binary sensor
   state changes from `unknown` to a valid state. This applies to the first valid state set, and any valid state set after
   a `binary_sensor.invalidate_state` action has been excuted. The default is `false`.
-  **publish_initial_state** (*Optional*, boolean): A deprecated equivalent to `trigger_on_initial_state`.
 
 - **entity_category** (*Optional*, string): The category of the entity.
   See <https://developers.home-assistant.io/docs/core/entity/#generic-properties>