[zigbee][core] Add support for Zigbee binary sensors on ESP32 H2 and C6 (#11553)

Co-authored-by: pre-commit-ci-lite[bot] <117423508+pre-commit-ci-lite[bot]@users.noreply.github.com>
Co-authored-by: J. Nick Koston <nick@koston.org>
Co-authored-by: J. Nick Koston <nick@home-assistant.io>
Co-authored-by: Jonathan Swoboda <154711427+swoboda1337@users.noreply.github.com>
Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>
Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

tests/components/zigbee/common.yaml

@@ -1,4 +1,3 @@
----
 binary_sensor:
   - platform: template
     name: "Garage Door Open 1"
@@ -22,12 +21,6 @@ sensor:
     lambda: return 12.0;
     internal: True
 
-zigbee:
-  wipe_on_boot: true
-  on_join:
-    then:
-      - logger.log: "Joined network"
-
 output:
   - platform: template
     id: output_factory
@@ -35,9 +28,6 @@ output:
     write_action:
       - zigbee.factory_reset
 
-time:
-  - platform: zigbee
-
 switch:
   - platform: template
     name: "Template Switch"