French Beans or Cabbages?

I've run out of space, until I can start lifting some potatoes - which won't be for a while.
The only bit of land not planted yet is not ideal as it is bordered by fruit trees, feels a bit enclosed and gets shade from about 4pm. I've got cabbages that desperately need planting and French beans that need sowing. Which would succeed best in this spot? Thanks for any advice.

Do both. If they are climbing beans start them in pots and let them grow to a height comparable with the cabbage, then plant out amongst the cabbage with a pole or two for them to climb. That is an efficient way of using the third dimension to maximise space efficiency, and the beans will fix nitrogen for the cabbage. Another advantage of planting both is that it is more likely one of two crops will succeed than just a single crop.

If it were me I would plant out the desperate cabbages. Shade after 4pm is not so bad considering high Summer days start at 5am.
The French beans can be sown in pots and held in them for almost a month, by which time you might feel like just lifting  a few earlies as new potatoes. Three or four potato plants soon render a lot of space.

My only other thought would be whether the soil ph would be ideal for both. I tend to lime ground for brassicas which beans might not like.

Cheers HH