if ($record->isDirty(['BadgeName', 'Title', 'Description'])) {
    /**
     * reusable code
     * $record->syncMetadataWithEventAchievements()?
     * (new SyncMetadataWithEventAchievementsAction())->execute(...)?
     */
}

$shouldResyncEventAchievementMetadata = (
    in_array('badge', $fields)
    || in_array('title', $fields)
    || in_array('description', $fields)
);
if ($shouldResyncEventAchievementMetadata) {
    /**
     * reusable code
     * $record->syncMetadataWithEventAchievements()?
     * (new SyncMetadataWithEventAchievementsAction())->execute(...)?
     */
}