No, the Free Trial period is part of the initial billing cycle of your first subscription. The credits available to you during the Free Trial period are the same as those provided with your initial subscription.
Credits will reset on the same calendar day of the following month that you initiated your trial. For example, if you started your 3-day free trial on January 1st and chose to subscribe on January 2nd, your credits will reset on February 1st, not January 2nd or January 4th.