Prior to what yann19 has mentioned, having the padding incorporated into the 
function instead of writing it out, whenever I need to call it. I thought of 
changing the second last line of the function from

name = "{0}{1}".format(base, i)

into

name = "{0:<03}".format(i)

But as I tried to use uniqueNamePattern("test_{0}_GRP"), the padding revert 
back to a single digit unless I change {0} to {0:<03}

I apologize in advance that I have not done much testing before I type this out 

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