Octatrack headphone output impedance? 80ohm-250ohm

I am planning to buy a headphone (DT770) , mainly for my Octa MK2
( Headphones out level: +17 dBu peak Output impedance: 55 Ω ) and DN ( Headphones out level: +22 dBu Output impedance: 55 Ω)

I am having doubts between the 80 ohm and 250 ohm model.

From Bax-shop : A rule of thumb is that the headphone impedance is at least 8 times greater than the amplifier’s output impedance. So with an impedance of 16 ohms, the output impedance of the amplifier must be 2 ohms. This ratio is called a damping factor.

I think the 250 ohm model is the best ? Please correct me if I’m wrong.

Do I need a Headphone amplifier with the 250 ohm model ?

this thread recommended 80ohm…

No real answers here…

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