bp_group_get_count_by_group_type( string $group_type = '', string $taxonomy = 'bp_group_type' )

function bp_group_get_count_by_group_type( $group_type = '', $taxonomy = 'bp_group_type' ) {

	global $wpdb;

	$group_types = bp_groups_get_group_types();

	if ( empty( $group_type ) || empty( $group_types[ $group_type ] ) ) {
		return false;
	}

	if ( ! bp_is_root_blog() ) {
		switch_to_blog( bp_get_root_blog_id() );
	}

	$bp_group_type_query     = array(
		'select' => "SELECT t.slug, tt.count FROM {$wpdb->term_taxonomy} tt LEFT JOIN {$wpdb->terms} t",
		'on'     => 'ON tt.term_id = t.term_id',
		'where'  => $wpdb->prepare( 'WHERE tt.taxonomy = %s', $taxonomy ),
	);
	$bp_get_group_type_count = $wpdb->get_results( join( ' ', $bp_group_type_query ) );

	restore_current_blog();

	$bp_group_type_count = wp_filter_object_list( $bp_get_group_type_count, array( 'slug' => $group_type ), 'and', 'count' );
	$bp_group_type_count = array_values( $bp_group_type_count );
	if ( empty( $bp_group_type_count ) ) {
		return 0;
	}
	return (int) $bp_group_type_count[0];
}