If your pool is not green or cloudy, then I wouldn't worry about running the pump 24/7 right now. But, I would run it for several hours at least after you add the bleach to let it mix in well. Maybe at least 4 hours or so.

But, I still am not following your math. 3-3/4 gallons of 128 oz.jugs is 480 oz. which will add around 11ppm of chlorine.

Are they 96 oz or 128oz jugs? Are they 6 or 8.25%?