Pouring Milk from a Thermos

Hello, I made coffee in a pot on the fire and poured it into a thermos. I opened the thermos twice to drink, and after three hours, I poured the remaining coffee into a dairy sink, accidentally spilling it directly onto a parve cutting board. The coffee was still hot, hot enough that I dipped my fingers into the coffee and recoiled after 3-4 seconds. Did the cutting board become dairy? And if so, can it be koshered?

Hello 

The cutting board is not prohibited.

This is pouring from a secondary vessel, which does not absorb or emit. 

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