1.5mm would be sufficient on a 13A FCU over that distance, but nothing wrong with 2.5mm if you wanted to use it, should you want to upgrade the supply at a later date
The power goes to the boiler house when the heating is switched on inside the house
Can you not do:
CU --> T+E --> Junction box --> Armored --> CU in boiler house --> socket/lighting/heating circuits
Then use a wireless stat/timer to control the heating.
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