I don't see anything that improved on the nested if/else blocks so far. You have 6 cases so you are going to end up with six cases. You could factor out the common code like so:

{
    no strict 'refs';
    &{ ( $foo < 7 ? "" : "other_" )
     . ( $bar ? "bar" : $baz ? "baz" : $qux ? "qux" : last )
     . "_func" }( $foo );
}
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