I disabled all of the options listed under UPnP and Port Ranges, executed the script again, and I still received the 10053 WS error. (This was done without restarting mIRC after disabling those options.)
(08:56.09 PM) :imperial.tx.us.SwiftIRC.net NOTICE AUTH :*** Looking up your hostname...
(08:56.09 PM) :imperial.tx.us.SwiftIRC.net NOTICE AUTH :*** Found your hostname (cached)
(08:56.09 PM) :imperial.tx.us.SwiftIRC.net NOTICE AUTH :*** Checking ident...
[10053] Software caused connection abort