I think (I am not sure since I don’t use it): For the Broadlink RM Pro you have 2 options to integrate in OH2:
a) RM → MQTT Bridge → MQTT Broker → OH2. One example is: GitHub - fbacker/broadlink-mqtt-bridge: Bridge Broadlink RM Devices with MQTT and API for e.g. OpenHAB
b) Broadlink Binding (alpha?): Check Broadlink binding for RMx, A1, SPx and MP. Any interest? & https://github.com/themillhousegroup/openhab2-addons/tree/master/addons/binding/org.openhab.binding.broadlink
There seems to be also work being done to create a binding for the Zmote also
Check:
a) openHAB zmote binding
&
b) GitHub - alexmaret/openhab-binding-zmote: An OpenHAB2 binding for ZMote devices.
There is also: GlobalCache - Bindings | openHAB
The Fujitsu AC has no “smart” features/options that would allow you to connect to it directly?