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There is a USB stick/dongle that does dual Z-Wave & ZigBee (I can’t find the link to it now)
You could also use 2 USB devices (one for each protocol)
Check out this thread also: EU Zigbee dongle
For Z-Wave, I use Aeotec Z-Stick Gen5 P/N: ZW090-C (link)

do you already have a controller for the Z-Wave and ZigBee ?