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-memberships-adapter.php

@@ -5,18 +5,13 @@
  * Two post-type models:
  *
  *   - Membership_Plan (post_type=hp_membership_plan)
- *       hot fields: hp_expire_period (int), hp_primary (bool)
+ *       hp_expire_period (int), hp_primary (bool)
  *
  *   - Membership      (post_type=hp_membership)
- *       hot fields: hp_expired_time (unix ts) — checked on every page load
+ *       hp_expired_time (unix ts) — checked on every page load
  *
- * Both fields registered to Hot zone so:
- *   - `hp_expired_time < NOW()` lookups become indexed range scans
- *     (replaces O(N) postmeta scan on each request).
- *   - `hp_primary = 1` lookups for "default plan" become O(1).
- *
- * Tables `wp_wpdo_hot_hp_membership_plan` and `wp_wpdo_hot_hp_membership`
- * are created by `TMDO_Schema_Manager` from the registered hot columns.
+ * Flattened by the `hp_membership_plan_core` / `hp_membership_core` entity
+ * groups (TMDO_HivePress_Entity_Groups); the adapter registers no zone fields.
  *
  * @package WP_Data_Optimizer
  * @since   3.0.0
@@ -62,81 +57,6 @@ if ( ! class_exists( 'TMDO_HivePress_Memberships_Adapter' ) ) {
 			return '2.0.0';
 		}
 
-		/**
-		 * Register hot fields for both post types.
-		 *
-		 * @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(
-					// Plan fields.
-					array(
-						'post_type' => 'hp_membership_plan',
-						'meta_key'  => 'hp_expire_period',
-						'zone'      => 'hot',
-						'data_type' => 'int(11) NOT NULL DEFAULT 0',
-						'column'    => 'hp_expire_period',
-						'indexed'   => false,
-					),
-					array(
-						'post_type' => 'hp_membership_plan',
-						'meta_key'  => 'hp_primary',
-						'zone'      => 'hot',
-						'data_type' => 'tinyint(1) NOT NULL DEFAULT 0',
-						'column'    => 'hp_primary',
-						'indexed'   => true,
-					),
-					// Membership (subscription) field — hottest path: every page load.
-					array(
-						'post_type' => 'hp_membership',
-						'meta_key'  => 'hp_expired_time',
-						'zone'      => 'hot',
-						'data_type' => 'bigint(20) UNSIGNED NOT NULL DEFAULT 0',
-						'column'    => 'hp_expired_time',
-						'indexed'   => true,
-					),
-				)
-			);
-		}
-
-		/**
-		 * Doctor probe — verify both hot tables.
-		 *
-		 * @return array{ok:bool, message:string, details?:array<string,mixed>}
-		 */
-		public function doctor_check(): array {
-			global $wpdb;
-			if ( ! isset( $wpdb ) || ! is_object( $wpdb ) ) {
-				return array(
-					'ok'      => false,
-					'message' => 'wpdb global not available',
-				);
-			}
-			$details = array();
-			$ok      = true;
-			foreach ( array( 'hp_membership_plan', 'hp_membership' ) as $pt ) {
-				$table = $wpdb->prefix . 'wpdo_hot_' . sanitize_key( $pt );
-				try {
-					$exists                   = (bool) $wpdb->get_var( $wpdb->prepare( 'SHOW TABLES LIKE %s', $table ) );
-					$details[ $pt ]['table']  = $table;
-					$details[ $pt ]['exists'] = $exists;
-					if ( ! $exists ) {
-						$ok = false;
-					}
-				} catch ( \Throwable $e ) {
-					$details[ $pt ]['error'] = $e->getMessage();
-					$ok                      = false;
-				}
-			}
-			return array(
-				'ok'      => $ok,
-				'message' => $ok ? 'hivepress-memberships: hot tables OK' : 'hivepress-memberships: hot tables missing',
-				'details' => $details,
-			);
-		}
-
 		/**
 		 * 8-D self-score.
 		 *
@@ -152,18 +72,6 @@ if ( ! class_exists( 'TMDO_HivePress_Memberships_Adapter' ) ) {
 		public function suitability_score(): array {
 			return $this->compose_score( array() );
 		}
-
-		/**
-		 * FSM modules this adapter contributes.
-		 *
-		 * @return array<int,string>
-		 */
-		public function migrations(): array {
-			return array(
-				'hot_hp_membership_plan',
-				'hot_hp_membership',
-			);
-		}
 	}
 
 } // end if ( ! class_exists )