Have you ever heard of intermittent reinforcement? The oversimplified version of the theory is proven out in the lab training rats: the rat who is rewarded inconsistently for good behavior winds up trained faster and better than the one who is rewarded all the time.
That 3 minutes of "intermittent reinforcement" is working to "train" you in largely the same way, thinking that you'll have that "reward" again next time around rather than recognize that nine times of ten, that won't happen.
When I was leaving my marriage, it helped me to think about the good blips in this manner. I could recognize them as what they were rather than symbols of what could be.