refactor(2meet-data-optimizer-hivepress-addon): stop registering Hot zone fields

- ADR-003 step 4 (AddOn side): core, requests, bookings, memberships and
  marketplace adapters no longer register zone=hot fields or contribute
  hot_* FSM modules; their keys live in TMDO_HivePress_Entity_Groups.
  Cold/warm registrations are unchanged.
- Hot-table doctor probes go with them (trait defaults apply). The
  hot-clause query rewrite and cron optimizer are now inert and are left
  for the ADR step-5 removal together with core's hot path.
- New NoHotZoneRegistrationTest pins the invariant across all 13 adapters;
  per-adapter hot assertions removed.
- Verify: HP unit 142 / integration 49 green, phpcs clean (WordPress)
- PR: PR-037

includes/hivepress/adapters/class-tmdo-hivepress-bookings-adapter.php

@@ -8,18 +8,13 @@
  * Booking model (post_type=hp_booking) — fields are best-effort from the
  * addon's documented field aliases:
  *
- *   start_time / end_time   → unix timestamp range queries (hot)
- *   status                  → enum filter (hot)
- *   quantity                → places booked, hp_quantity (hot for slot-availability;
- *                             only written when "Allow multiple places" is on)
+ *   start_time / end_time   → unix timestamp range queries
+ *   quantity                → places booked, hp_quantity (only written when
+ *                             "Allow multiple places" is on)
  *   listing                 → post_parent (already a posts column)
  *
- * Hot-zone target: `wp_wpdo_hot_hp_booking` with covering indexes on
- * `(listing_id, start_time)` for slot-availability queries and
- * `(status, start_time)` for vendor dashboard listings.
- *
- * The schema MAY drift from real Booking model when the addon is finally
- * installed; reconcile with `wp wpdo doctor` then.
+ * These keys are flattened by the `hp_booking_core` entity group
+ * (TMDO_HivePress_Entity_Groups); the adapter registers no zone fields.
  *
  * @package WP_Data_Optimizer
  * @since   3.0.0
@@ -65,73 +60,6 @@ if ( ! class_exists( 'TMDO_HivePress_Bookings_Adapter' ) ) {
 			return '1.0.0';
 		}
 
-		/**
-		 * Register hot fields for hp_booking post type.
-		 *
-		 * @param TMDO_Schema_Registry $registry Schema registry singleton.
-		 */
-		public function on_register_fields( TMDO_Schema_Registry $registry ): void {
-			$registry->register_many(
-				$this->plugin_slug(),
-				array(
-					array(
-						'post_type' => 'hp_booking',
-						'meta_key'  => 'hp_start_time',
-						'zone'      => 'hot',
-						'data_type' => 'bigint(20) UNSIGNED NOT NULL DEFAULT 0',
-						'column'    => 'hp_start_time',
-						'indexed'   => true,
-					),
-					array(
-						'post_type' => 'hp_booking',
-						'meta_key'  => 'hp_end_time',
-						'zone'      => 'hot',
-						'data_type' => 'bigint(20) UNSIGNED NOT NULL DEFAULT 0',
-						'column'    => 'hp_end_time',
-						'indexed'   => true,
-					),
-					array(
-						'post_type' => 'hp_booking',
-						'meta_key'  => 'hp_quantity',
-						'zone'      => 'hot',
-						'data_type' => 'int(11) NOT NULL DEFAULT 0',
-						'column'    => 'hp_quantity',
-						'indexed'   => false,
-					),
-				)
-			);
-		}
-
-		/**
-		 * Doctor probe — verify hot table when addon is active.
-		 *
-		 * @return array{ok:bool, message:string}
-		 */
-		public function doctor_check(): array {
-			global $wpdb;
-			if ( ! isset( $wpdb ) || ! is_object( $wpdb ) ) {
-				return array(
-					'ok'      => false,
-					'message' => 'wpdb global not available',
-				);
-			}
-			$table = $wpdb->prefix . 'wpdo_hot_hp_booking';
-			try {
-				$exists = (bool) $wpdb->get_var( $wpdb->prepare( 'SHOW TABLES LIKE %s', $table ) );
-				return array(
-					'ok'      => $exists,
-					'message' => $exists
-						? sprintf( 'hivepress-bookings: %s present', $table )
-						: sprintf( 'hivepress-bookings: %s missing (addon installed but not migrated)', $table ),
-				);
-			} catch ( \Throwable $e ) {
-				return array(
-					'ok'      => false,
-					'message' => sprintf( 'hivepress-bookings doctor failed: %s', $e->getMessage() ),
-				);
-			}
-		}
-
 		/**
 		 * 8-D self-score.
 		 *
@@ -146,15 +74,6 @@ if ( ! class_exists( 'TMDO_HivePress_Bookings_Adapter' ) ) {
 				)
 			);
 		}
-
-		/**
-		 * FSM modules this adapter contributes.
-		 *
-		 * @return array<int,string>
-		 */
-		public function migrations(): array {
-			return array( 'hot_hp_booking' );
-		}
 	}
 
 } // end if ( ! class_exists )