A second man inside the flat handed himself into the police shortly before 6pm and was arrested.
This followed another man handing himself into officers earlier today.
No one else was identified in the flat and no one suffered any injuries.
Detective Chief Superintendent Dee Perkins said: “This has already been a long and challenging operation and alongside our partners, our officers and staff will continue their hard work as we now enter the recovery phase.
“Any incident involving firearms is deeply concerning and our detectives are thoroughly investigating what happened.
“Finally, I would like to thank the other residents of Bury Court and the wider community for their ongoing support, patience and resilience.
“I know these events will have undoubtedly caused some distress in the local community and I would urge people to reach out to the appropriate agencies for support.
“There will also be a visible police presence in the area for the days ahead to provide reassurance so I would urge people with any information or concerns to make contact with us.