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-marketplace-adapter.php

@@ -4,7 +4,9 @@
  *
  * The marketplace addon turns listings into purchasable items, integrating
  * with WooCommerce. Its filterable, sortable listing attribute `price` is
- * stored as `hp_price` → decimal(10,2), used in price-range filters (HOT).
+ * stored as `hp_price` → decimal(10,2), used in price-range filters. It is
+ * flattened by the `hp_listing_core` entity group
+ * (TMDO_HivePress_Entity_Groups); the adapter registers no zone fields.
  *
  * Its other listing attributes (price tiers / extras / discounts, quantity,
  * subscription period, …) are not search filters, and it keeps no per-listing
@@ -57,57 +59,6 @@ if ( ! class_exists( 'TMDO_HivePress_Marketplace_Adapter' ) ) {
 			return '1.0.0';
 		}
 
-		/**
-		 * Register marketplace hot fields on the listing 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_listing',
-						'meta_key'  => 'hp_price',
-						'zone'      => 'hot',
-						'data_type' => 'decimal(10,2) DEFAULT NULL',
-						'column'    => 'hp_price',
-						'indexed'   => true,
-					),
-				)
-			);
-		}
-
-		/**
-		 * Doctor probe — verify hot column exists on listing hot table.
-		 *
-		 * @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_listing';
-			try {
-				$exists = (bool) $wpdb->get_var( $wpdb->prepare( 'SHOW TABLES LIKE %s', $table ) );
-				return array(
-					'ok'      => $exists,
-					'message' => $exists
-						? 'hivepress-marketplace: shares wp_wpdo_hot_hp_listing'
-						: 'hivepress-marketplace: hot listing table missing',
-				);
-			} catch ( \Throwable $e ) {
-				return array(
-					'ok'      => false,
-					'message' => sprintf( 'hivepress-marketplace doctor failed: %s', $e->getMessage() ),
-				);
-			}
-		}
-
 		/**
 		 * 8-D self-score.
 		 *