TLDR: search airbus to pc adapter. Easy. Below is an explanation how I found this answer.
I hate how headsets are designed to break. They are almost always made of plastic and have designed weak points that always eventually fail. I have seen a lot of people trying to figure out how to use a dt109 for gaming but they always seem to resort to extreme measure to get it to work, taking the cable apart and soldering a custom connection that can get messed up.
I learned this headset is sometimes used by pilots. The plug this uses called XLR5 is also called by pilots an airbus connection. Usually aviation headsets require power to work and adapters that go to a pc for aviation headsets are powered, a dt109 will tolerate power and still work but does not require it. I also learned pilot headsets, while expensive but affordable secondhand, are designed for an extreme degree of comfort quality and durability that even if you spent the same amount on a normal headset you would not achieve the same results of reliability and retain the ability to service the headset to repair it.
I learned for aviation there is an adapter that turns an airbus xlr5 connection to a "fixed wing" two plug connection that uses a 1/4 inch 6.35 connection for headphones like a guitar amp uses, so easy to find adapters for that to size it down to a 3.5mm, but the mic on a fixed wing plug is 3/16in or 5.23mm which has proven really difficult to find a 5.23 to 3.5mm adapter for. There are some adapter boxes you can buy that coast about as much as the adapter which will in total cost you about $100 for both which is pretty annoying.
I researched the XLR connection and how it is used, which seems largely used by professional sound and broadcasting production work. It's really hard to find affordable equipment compatible with this connection type so I was researching for a long time.
I asked around on flight sim discords and talked through what I have tried so far and we bounced ideas back and forth, nobody really was sure either what would work.
I am going to try this and report if it works for me. For reference the amp I am using is for a cheap headset the Tritton 720+ that uses a cable specific to this headset but has 3.5mm connectors, one for mic and one for headphones. This goes into the amp which uses a toslink output which makes me suspect it works as a DAC and translates analog signal into digital.
If this does not work I will report back and update this post.