I found that part of the spec ambiguous and so made up a convenient definition.
You also apparently made a convenient definition of the phrase "
random number". :)
Personally, I'd like something that has a chance of producing a long string, but favouring shorter ones. Hence, a simple 1 + int rand 12 won't do. Rather, I'm tempted to use an exponential function:
$_ = 'cat';
s/(.)/$1 x int(12**rand)/ge;
print;
Which, for example, prints
caaatttttttt
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