If I look at the suggestions above, a format converter costs a lot of money and the device does nothing else than the name says, convert from one format to the other, e.g. ADAT<-->AES.
Therefore, I think you might be interested in the following suggestion.
You could also get another AES port using the ADI-2 Pro FS R BE, which in digital through mode also can convert from ADAT to AES.
You would not only have invested money in a format converter, but also in a powerful product that can enhance your monitoring section with some unique and very respectable features.
Then you could perhaps route the analog output of all three DACs to your active monitors via a kind of monitor controller or passive switcher and then select different DACs for the output as desired.
I'm not sure if this setup really fits 100%, but I think it's enough to get the idea across that you might be better off investing the money in an ADI-2 Pro FS R BE. And then doing the format conversion through that.
Here some additional information that could wake your interest to invest into the ADI-2 Pro FS R BE.
Even the former model ADI-2 Pro FS did already very well in this "Mastering Converter Shootout" on YouTube from Marc Einstmann:
https://www.youtube.com/watch?v=doHG32aXBDY
There, the ADI-2 Pro FS (former model) was compared against Crane Song HEDD-192 and AD122.
Marc Einstmann uses the different converters in his setup depending on which one supports the music material best.
Here some information from the manual about digital through mode of the ADI-2 Pro FS R BE:
A connection schema for your setup, how I understood it (hopefully well enough).
PC---USB---ARC USB
| \---USB2-------------------------------------------------+ for remote controlling ADI-2 Pro using ADI-2 Remote
| | or as an option to playback DSD content using a different profile
| PCIe |
HDSPe MADI FX---AES---------->AES---DAC#1---ANALOG----------------------------------------+
| | \---AES<----------AES---/ | \
| | | \
| + M-1610 Pro---ADAT------>ADAT---ADI-2 Pro FS R BE---AES---->AES---Burl---ANA---->Monitor Contr.--->Act. Monitors
| | \---ADAT<-----ADAT---/ \ \ \---AES<-----AES---/ /
| | \ \ /
+--+ \ +-AN1/2-------------------------------------+
MADI +---AN3/4------------------------------------------------------------>Phones Out
BR Ramses - UFX III, 12Mic, XTC, ADI-2 Pro FS R BE, RayDAT, X10SRi-F, E5-1680v4, Win10Pro22H2, Cub14