Ableton Live - how to export the tempo map?

[trtzbass]

Hey peeps.

Let's say you have started a session in Live, but want to move it to Cubase or Logic because a collaborator is on another platform.
I have already established that I can export only one MIDI track at a time. I create a clip with a single note at the top of the track then consolidate all the midi to one single continuous clip and export it.
I can kinda live with that (even tho it's time consuming and a bit archaic), but my main issue is not being able to export the tempo map.
If I'm doing soundtrack work, tempo might ramp up and down to follow the movie, so it would be nice to be able to export the tempo map and BPM count (which I know for a fact you can't do in Live, because it doesn't embed that kinda info in the MIDI export)

Do you guys have a specific strategy? My best guess would be to have a track doing a 4 on the floor kick figure all the way through, then export that as audio and have Cubase map that, then re write the time sig changes. Never tried that, tho

Any ideas?

[trtzbass]

Updated: I tried that in Cubase and didn't work!