You don't need to be silly, nobody is putting it in a fridge.
It already loses temperature as it slowly drips into the pitcher. And then it continues to lose temperature quite quickly if it's not being actively kept hot.
So all you have to do is reduce the temperature of the hot plate underneath the pitcher. This is a setting that already exists.
And no, coffee shops don't empty out pitchers every five minutes. If they have that level of business they use the larger coffee machines that brew and hold a much larger volume, and again, it's a setting for what temperature to hold the coffee at.
It already loses temperature as it slowly drips into the pitcher. And then it continues to lose temperature quite quickly if it's not being actively kept hot.
So all you have to do is reduce the temperature of the hot plate underneath the pitcher. This is a setting that already exists.
And no, coffee shops don't empty out pitchers every five minutes. If they have that level of business they use the larger coffee machines that brew and hold a much larger volume, and again, it's a setting for what temperature to hold the coffee at.
This is an extremely solved problem.