Somewhat unrelated to your question, but this if needs an else. You use $year later, and don't otherwise reset it:
if ($file_in_question =~ /^(\d{4})/){
$year = $1;
}
As for your actual question, does this work?
print OUT for map{
s[(^\d+\s+)[\d\.]+\s+][$1];
"$year\t$_";
} sort {
# ... etc.
addendum: I would follow BrowserUk's advice in Re^3: Regex problem and replace the map pipeline with a series of steps. You aren't comfortable with this code the way it is.
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