I came here to say exactly the same thing ... it requires a lot more calories to heat up water one degree Celsius than it does air but the heat still has to go somewhere.
The world generates 20,000 TWh of electricity per year, and maybe 10% is for IT. That's 7.2e18 joules of electricity / year in IT.
So it would take 780,000 years to heat by 1 C. Or 780 years to heat by 0.001 C.
Other sources of global warming are far, far worse.