Googling I got the a power use estimate as Standard Query (Sonnet): ~0.84 Wh

Assuming Dawkins made 100 queries over the the weekend we have AI power use 84 Wh, Dawkins brain at say 20W x 48 hrs = 960 Wh.

Of course when you include the rest of the cost of powering a Dawkins including food and heating his house the human energy use goes higher.