Connect BM Ethernet Switch 360 with Studio 6K Camera

So I'm setting up a new studio and like to use Ethernet to run through walls instead of using SDI, for convenience (already have Cat 6 run throughout the whole place) and future proof. Ideally we like to be able to plug any camera with Cat6 to the Ethernet Switch, and through the Blackmagic 2110 IP Converter 4x12G PWR connect into the ATEM 2 M/E Constellation 4K for live show. The output from the ATEM will be going through a converter again and back to the Ethernet Switch (I'm assuming it'll be better to have another Ethernet Switch for the output), then we would be able to see the output video anywhere in the building that has Cat6, using the Blackmagic 2110 IP Mini IP to HDMI to connect to a monitor.

Here's the basic idea I have in Chart


So first question would be "can I plug Blackmagic Studio 6K Camera direct into the Ethernet Switch 360P?"
If not I think I can use Blackmagic Design Studio Converter to convert to SDI signal and plug into the ATEM?

Does the connection make sense? Can I take out some redundant setup like having 2 Blackmagic Ethernet Switch 360P? Maybe I can plug all in/out video into one single Blackmagic Ethernet Switch 360P? Ideally, we would like to see videos from any camera (ex. Cam 1 from Studio 2), in any room that has a CAT6 connection (ex. Monitor 1 from Studio3).

Thanks in advance,

Sumo

The 6ks don’t output 2110 (yet?). I think you’d want to install the 2110 converters directly downstream of the cams rather than later in the chain.

Good Luck