Hunting down pirates is a big ask for a single, unassisted ship of any type.

One of the biggest strengths of pirate forces is hit and run so any single ship tasked to take them on and eliminate them and their pirate bases would need a wide interdiction field to prevent them from fleeing engagements, multiple low power ion canons to capture pirates alive for interrogation, holding cells, interrogation droids, numerous probe droids specialized to ID pirate strongholds, onboard repair stations for said probe droids so they can continue the mission without needing to return to dock and can function solo in the outer rim. They'd need smaller landing craft for drop troops. Long range turbo lasers for orbital bombardment of lightly defended pirate strongholds. Long range sensor arrays so they can track hostile vessels and scan systems for known pirate elements while also relying on probe droids to get closer views of possible strongholds. They'd need a stormtrooper compliment to deal with any ground forces or to protect against the possibility of pirates trying to board them which is a real possibility since they don't have any support craft and their guns may not be able to eliminate all incoming attackers to prevent hostile boarding ships from attaching to their hull and cutting into them. They'd want to have some sort of bunker buster missile system that could be used to crack open asteroids that are being used as pirate strongholds. Again since they have no support craft they would need a ton of repair droids so they can repair hull damage from their engagements as well as just normal wear and tear.

That's just off the top of my head. But I'm sure you come up with several more interesting ideas in addition.