You would have to use the new refresh token that is provided with the response as the old refresh token will not remain active after a new token has been granted.
Tier 2/Enterprise Support Analyst
Bullhorn Support US: 617-478-9126
Bullhorn Support UK: 44 800 032 2848, ext. 9131
Bullhorn Support Australia: 61 28 073 5089
Bullhorn Support International: 617-478-9131