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If you wrap an additional let around your lambda expression, you will
fix the bug:

(let ((activity activity))
  #'(lambda ()
      (print activity)))

Basically, a closure saves bindings, not values.  In your original
code, the let was outside the loop, so each closure points to the same
binding.  If you do a let inside the loop, the right thing will
happen.  This is explained in more detail somewhere in CLtL.