Transfer programming from Hörmann to Marantec hand transmitter?

My newly rented garage is equipped with a Hörmann door opener and the corresponding HSE4 handheld transmitter. I would now like to transfer the signal from this transmitter to my existing Marantec Digital 304, as I already use it for my other door openers. So far, I've always programmed the Marantec using the included pins, but the Hörmann transmitter lacks this interface.

Does anyone have experience with these two handheld transmitters and can tell me if and how I can do this?

I know it would be possible the other way around, since the Hörmann transmitter can simply pick up the signal. But I need two transmitters for my girlfriend and me anyway, so it would be perfect if that worked somehow.