Create a list copy having distanced duplicate elements

I have a list containing integers, I would like to create a copy of it such that duplicate elements are at least some distance apart. I am aware that it would be necessary to have "enough" different elements and a sufficiently "long" starting list but I would like to create that copy or return a message that it is not possible.

Here is a python "possible" implementation but sometimes this program creates an infinite loop.

import random  out = [] pbs = [1, 2, 3, 1, 2, 3, 5, 8] l = len(pbs) step = 3  while l > 0:      pb = random.choice(pbs)      if pb in out:         lastindex = out[::-1].index(pb)         if (len(out) - lastindex) < step:             continue     pbs.remove(pb)     out.append(pb)     l += -1  print(out) 

Thank you for your help.