Used to express 'whether... or...', 'both... and...', 'in either case'.
Long explanation:
The ~AにつけBにつけ grammar point is used to express that a certain state or action applies both in case A and case B. It can be translated as 'whether... or...', 'both... and...', 'in either case' in English. It is often used with a pair of contrasting statements.