I'd say the use of $' is less than obvious. Nice work btw.

The shortest solution I know (not my own creation):

for$;(0..2){say map{substr'   | |_|_ _ _|',vec('0123456789abcdef',$;.$
+_,4),3}"@_"=~/./g}
[download]

where '0123456789abcdef' is to be substituted with "\x09\x99\x90\x99\x99\x13\xBB\x75\x17\x55\x15\xB7\xB1\x15\xB5". When the \x codes are replaced with the actual characters, it comes out two characters shorter than the solution above. (Not very elegant, though.)