A simple solution would be to create the socket with SO_REUSEADDR...but I'm not sure if EasyTCP allows you to do it.

That was my first suspicion too, but Net::EasyTCP creates sockets with SO_REUSEADDR by default. From Net::Easy_TCP->_new_server():

$sock = new IO::Socket::INET(
        LocalPort => $para{port},
        Proto     => 'tcp',
        Listen    => SOMAXCONN,
        Reuse     => 1,
    );
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