Until you have a good DAC, like Hugo TT, expensive headphone amplification is just putting lipstick on a pig. Some DACs, like the TT, are truly excellent driving headphones direct without a separate amplifier.
You seem to be missing the point. OP has a problem w/ brightness they're looking to remedy by adding some warmth to the sound. Do you really think the Hugo TT fits the bill?
Apparently this person
introduced a problem by buying some components. The DAC he bought is probably worse than Mojo. Most DACs measure "flat" but sound bright because of poor design.
It's unlikely the headphone amp introduced the brightness problem, since it's the headphone amp that was designed for the HD 800, a headphone that doesn't need help to sound bright.
Using a headphone amp to fix a fault in the DAC is literally wasting money.
Mojo was engineered to sound slightly dark, for what it's worth.
Bright is absolutely not a description of TT.
It may be that this person prefers a dark sound, not a neutral-ish sound. The HD 800 S does have some of the treble peak that the HD 800 is known for, and it may be this person doesn't like that quality at all.
It may be that the Mojo as a DAC and amp is perfect in tonal balance for him. It may be that TT is too bright.
Only he can tell.
I'm not suggesting that TT is his solution. Merely that before he goes fixing a fault that is prolly due to the DAC, he finds a DAC that's a real upgrade from the Mojo, instead of something that is probably a downgrade. The TT, because it's good at driving headphones as well as being an exceptional DAC, has a big advantage over buying a DAC and a separate amp.
A real upgrade from Mojo prolly costs enough that he's better off saving for a while and doing careful auditions before spending.
He's better off sticking with Mojo for the time being. Hi-fi forums too often give people the idea that spending a little bit of money will produce a huge upgrade.
In two years' time, say, when he's ready for an upgrade, there might be something really amazing out there for much less than the cost of the TT.