diff --git a/wp-includes/class-wp-scripts.php b/wp-includes/class-wp-scripts.php
index ff226b5661..8c3b5a4ba9 100644
--- a/wp-includes/class-wp-scripts.php
+++ b/wp-includes/class-wp-scripts.php
@@ -997,12 +997,17 @@ JS;
 	 *
 	 * @since 6.3.0
 	 *
-	 * @param string              $handle              The script handle.
-	 * @param string[]|null       $eligible_strategies Optional. The list of strategies to filter. Default null.
-	 * @param array<string, true> $checked             Optional. An array of already checked script handles, used to avoid recursive loops.
+	 * @param string                  $handle              The script handle.
+	 * @param string[]|null           $eligible_strategies Optional. The list of strategies to filter. Default null.
+	 * @param array<string, true>     $checked             Optional. An array of already checked script handles, used to avoid recursive loops.
+	 * @param array<string, string[]> $stored_results      Optional. An array of already computed eligible loading strategies by handle, used to increase performance in large dependency lists.
 	 * @return string[] A list of eligible loading strategies that could be used.
 	 */
-	private function filter_eligible_strategies( $handle, $eligible_strategies = null, $checked = array() ) {
+	private function filter_eligible_strategies( $handle, $eligible_strategies = null, $checked = array(), array &$stored_results = array() ) {
+		if ( isset( $stored_results[ $handle ] ) ) {
+			return $stored_results[ $handle ];
+		}
+
 		// If no strategies are being passed, all strategies are eligible.
 		if ( null === $eligible_strategies ) {
 			$eligible_strategies = $this->delayed_strategies;
@@ -1053,9 +1058,9 @@ JS;
 				return array();
 			}
 
-			$eligible_strategies = $this->filter_eligible_strategies( $dependent, $eligible_strategies, $checked );
+			$eligible_strategies = $this->filter_eligible_strategies( $dependent, $eligible_strategies, $checked, $stored_results );
 		}
-
+		$stored_results[ $handle ] = $eligible_strategies;
 		return $eligible_strategies;
 	}
 
@@ -1066,11 +1071,16 @@ JS;
 	 * @see self::filter_eligible_strategies()
 	 * @see WP_Script_Modules::get_highest_fetchpriority_with_dependents()
 	 *
-	 * @param string              $handle  Script module ID.
-	 * @param array<string, true> $checked Optional. An array of already checked script handles, used to avoid recursive loops.
+	 * @param string                $handle         Script module ID.
+	 * @param array<string, true>   $checked        Optional. An array of already checked script handles, used to avoid recursive loops.
+	 * @param array<string, string> $stored_results Optional. An array of already computed max priority by handle, used to increase performance in large dependency lists.
 	 * @return string|null Highest fetch priority for the script and its dependents.
 	 */
-	private function get_highest_fetchpriority_with_dependents( string $handle, array $checked = array() ): ?string {
+	private function get_highest_fetchpriority_with_dependents( string $handle, array $checked = array(), array &$stored_results = array() ): ?string {
+		if ( isset( $stored_results[ $handle ] ) ) {
+			return $stored_results[ $handle ];
+		}
+
 		// If there is a recursive dependency, return early.
 		if ( isset( $checked[ $handle ] ) ) {
 			return null;
@@ -1099,7 +1109,7 @@ JS;
 		$highest_priority_index = (int) array_search( $fetchpriority, $priorities, true );
 		if ( $highest_priority_index !== $high_priority_index ) {
 			foreach ( $this->get_dependents( $handle ) as $dependent_handle ) {
-				$dependent_priority = $this->get_highest_fetchpriority_with_dependents( $dependent_handle, $checked );
+				$dependent_priority = $this->get_highest_fetchpriority_with_dependents( $dependent_handle, $checked, $stored_results );
 				if ( is_string( $dependent_priority ) ) {
 					$highest_priority_index = max(
 						$highest_priority_index,
@@ -1111,7 +1121,7 @@ JS;
 				}
 			}
 		}
-
+		$stored_results[ $handle ] = $priorities[ $highest_priority_index ]; // @phpstan-ignore parameterByRef.type (We know the index is valid and that this will be a string.)
 		return $priorities[ $highest_priority_index ];
 	}
 
diff --git a/wp-includes/version.php b/wp-includes/version.php
index ed1afd8dab..8fd5c8d31c 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -16,7 +16,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '6.9-beta3-61175';
+$wp_version = '6.9-beta3-61176';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.