I heat it up in the microwave all the time. Smooth as a pour-over and much less of a hassle to make.
That is the advise I got before, but I find this is super difficult to hit the right temperature. I either get boiling coffee, or luke warm.
When you get used to the microwave you have, you can hit the same spot every time. It's a formula depending on your cup, the wattage of he microwave and time.
I can hit the temperature I want every time on a Bosch microwave from 80s which has two power levels and a rotary, mechanical timer.
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Also volume of liquid and temperature of liquid and cup.
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I generally fill the cup to the same level, and fill it from the same source in the house in 99% of the time, so they are implicit constants in the equation, at least for me.