Summertime HRV and Home Assistant

I am trying to get my Summertime HRV to work nice with Home Assistant, but am not having much luck. I end goal is to be able to run the HRV on low speed, but the only way that can be done is by using the humistat and the push button to select low. I tried to mimic this with a relay and ESP32/ ESPHome but had no luck. I can run the HRV on hi if I connect to the CT connection on the HRV, which is ok, but I would like to be able to control fan speed with Home assistant.

any thoughts/ suggestions welcomed.

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are some pictures (wiring diagram of the HRV, connection point on the side of the HRV, humistat control board front and back).