Answer: Only a few trees will grow in complete shade, and most of those have widely spaced branches and a wide canopy. However, you can train Laurus nobillis (sweet bay) into a tall, narrow tree shape. Another possibility is a small palm (Chamaedorea elegans or Rhapis humilis, the slender lady palm). These palm trees adapt well to growing in containers and won't mind being planted in a narrow site such as you describe.
Best wishes with your garden!
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