I’d assume you would need a mic interface if you are going to be working with music correct? If so, then what you can do is get a mic interface like ones from behringer, focusrite, motu, etc, and use that as a dac for a liquid spark and have a fairly solid and convenient setup imo.
While I won’t tell you dacs don’t matter, I will say that a lot of the entry level dacs sound pretty similar so it’s more an exercise of finding a good deal and the right features rather than a pure sound focus. Getting some sort of dedicated dac, wether that be a quality dongle, dedicated dac only, or an audio interface will probably be a noticable improvement over motherboard audio, because motherboard audio typically isn’t great from my experience (modern motherboards have definitely gotten better but it’s still not proper stand alone level imo, but they are serviceable imo)
I would say the liquid spark is a great value and also matches well with your beyerdynamic, it might lean a bit warm but for casual or entry level music production it shouldn’t be a big deal. Another one I like around the same price point as the spark is the magni 3+ if you wanted something more neutral. I would mention the jds atom+ as a more analytical option but I generally like to lean a bit warmer and more calm in the treble with a beyer
I wouldn’t use the direct headphone out of an audio interface because those typically suck from my experience
If you were looking for maximum cost savings, I would probably just get the liquid spark and use your motherboard as a dac, but if you can spend a bit more a dedicated dac in the 100 dollar range isn’t a poor investment imo. If you plan to get an audio interface for a mic, then you can just use that as a dac and you should be good to go and that would replace a dedicated dac
Something to watch out for when it comes to music production and dacs is latency, you want to make sure the dac you get doesn’t have too much latency so realtime audio playback isn’t jarring. ASIO support is also nice
If I was in your position, I would probably get the spark and use it with the motherboard audio for the time being, and later down the line grab a standalone dac like an earmen donald dac, schiit modi 3+ or jds atom dac+, or instead if you end up needing/wanting an audio interface for microphones something like a motu M2, audient evo 4, or for something on the cheap the behringer u-phoria um2 is good enough for the price and can act as a dac for your amp