There's only about 400MJ of energy in each beam, so that's about 110kWh. The beam is dumped a couple of times a day - so it's on the order of a ~10kW continuous source if spread over the whole day. Which isn't nothing, but is about the same heat as generated by an average single datacentre rack...

I'd assume that the inputs to the system are far, far more than 10 kW continuously. I just ordered 4 servo motors for a modest-sized industrial machine that moves steel plates around to assemble construction equipment, each one is capable of about 8 kW.

I'd be unsurprised if the particle accelerator complex generated waste heat on the order of 5 megawatts to generate a particle stream with an energy of 10 kilowatts. That's 0.2% efficient, pretty good!

I bet just running the ceiling lights across the complex uses a lot more than 10 kW...