bp_set_object_terms( int $object_id, string|array $terms, string $taxonomy, bool $append = false )

function bp_set_object_terms( $object_id, $terms, $taxonomy, $append = false ) {
	$site_id = bp_get_taxonomy_term_site_id( $taxonomy );

	$switched = false;
	if ( $site_id !== get_current_blog_id() ) {
		switch_to_blog( $site_id );
		bp_register_taxonomies();
		$switched = true;
	}

	$tt_ids = wp_set_object_terms( $object_id, $terms, $taxonomy, $append );

	if ( $switched ) {
		restore_current_blog();
	}

	/**
	 * Fires when taxonomy terms have been set on BuddyPress objects.
	 *
	 * @since BuddyPress 2.7.0
	 *
	 * @param int    $object_id Object ID.
	 * @param array  $terms     Term or terms to remove.
	 * @param array  $tt_ids    Array of term taxonomy IDs.
	 * @param string $taxonomy  Taxonomy name.
	 */
	do_action( 'bp_set_object_terms', $object_id, $terms, $tt_ids, $taxonomy );

	return $tt_ids;
}