[core] Move state logging to client-side formatting, console to VERBOSE (#15155)

esphome/components/binary_sensor/binary_sensor.cpp

@@ -45,7 +45,7 @@ bool BinarySensor::set_new_state(const optional<bool> &new_state) {
 #if defined(USE_BINARY_SENSOR) && defined(USE_CONTROLLER_REGISTRY)
     ControllerRegistry::notify_binary_sensor_update(this);
 #endif
-    ESP_LOGD(TAG, "'%s' >> %s", this->get_name().c_str(), ONOFFMAYBE(new_state));
+    ESP_LOGV(TAG, "'%s' >> %s", this->get_name().c_str(), ONOFFMAYBE(new_state));
     return true;
   }
   return false;