Current Mediterranean water temps are +6C above normal, as observed over peak human civilization in the 20th century. That is 6kWh per cubic meter, in just the Mediterranean. The article briefly mentions this extending 30m down.
To give the order of magnitude of the energy involved, the Mediterranean surface area is 2,500,000,000,000 sq m. At 6kWh cu m and 18m deep, that is the energy equivalent of about 390,000 megatons. Or about 8,000 Tsar Bombas. The Mediterranean is small, about 0.7% of ocean surface area.