Check to determine if user is member of any group of specific type
I don't think Rules alone will do what you want. You'll want something like

// This hook fires whenever a user account is saved. 
// If you want to do it at other times, you'll want another hook.
function mymodule_user_presave(&amp;$edit, $account, $category) {
    // This is an organic groups API function for finding out what group a user is in.
    $user_groups = og_get_groups_by_user($account, 'my_group_type');
    if ( [check for group membership] ) { ... }
}