What Happened to the Katana Fleet After the Thrawn Campaign?

The Thrawn Campaign flared up even stronger after the Battle of the Katana Fleet, turning the tide in the Grand Admiral’s favor. But multiple factors, including Thrawn’s betrayal of the Noghri—exposed to them by Leia Organa, and eventually leading to his assassination at the hands of his Noghri bodyguard Rhuk—saw the campaign end in New Republic victory after the Battle of Bilbringi.
We don’t know what explicitly happened to the bulk of the Katana Fleet after Thrawn incorporated it into his navy, however. After Bilbringi, Thrawn’s right-hand man Gilad Pellaeon withdrew the Grand Admiral’s remaining forces into the Unknown Regions, and the loss of Thrawn fractured the Imperial Remnant even further, instigating a civil war between the various Warlords vying for control of what remained. Presumably, a combination of ships either destroyed during the infighting or recovered by the New Republic and integrated into its own Navy rendered what was actually left of the Katana Fleet significantly lessened in the years after the Thrawn Campaign concluded—nullifying the mythical threat it had once held across the galaxy for nearly half a century.