I am not sure if this is possible.
Sounds like you want the broadlink to always be listening for IR commands and then tell HASS if it sees one. That is only enabled in learning mode to my understanding, not always on.
You could add an IR receiver to a node MCU / or some other ESP8266 and listen for IR codes ongoing perhaps - or add an IR receiver to a PI and use LIRC or some other service to listen for commands.
Have a look at some projects like this perhaps: 433mhz, infrared IR to and from MQTT on ESP8266