How to export with 240fps

Hi Everyone,
for a special project where I am calibrating a smartphone app based on a movie displayed on a 240hz monitor I need to export a video to 240fps. I rented the Da Vinci resolve studio version since the free version is limited to 60fps. Unfortunately I didn't know that even in the full version you cannot enter a custom framerate for export and the highest available is 120 fps. Is there any way to do this via the API or similar? Can this maybe be added quickly? Sounds like it's just a number that has to be tweaked . The only other idea I had so far is export it at half speed with 120 fps and choose 200% playback speed in the video player, but I would prefer if this possible directly.

No, you can't do that (and never will) in Davinci.

If you really wanted 240 fps video you would have to get ffmpeg involved: https://trac.ffmpeg.org/wiki/ChangingFrameRate

Are you absolutely sure that playing back 200% will show 240 fps and not every second frame at 120 fps?

I'm also doubting that the hardware decoder in whatever phone the user has can decode video that fast. I assume there's reasons why you don't use https://www.testufo.com/ , https://fpstest.org/refresh-rate-test/, https://vhdcombo.com/tools/screen-refresh-rate-check or https://devicetests.com/refresh-rate-test (which I would love to know btw)

You can export at 120fps and have ffmpeg speed it up 200% and re-encode at 240fps.

I would be surprised if the end user actually sees all 240 frames though. You could record the screen with a 240fps camera and and see if you actually see the screen change every frame.