What operation was built around a squadron of the 820 SFG to kill or capture insurgents at Balad?

The correct operation built around a squadron of the 820th Security Forces Group (SFG) to kill or capture insurgents at Balad is Operation Desert Safeside. This operation specifically aimed to enhance security and counterterrorism efforts in Balad, where insurgent activity was high. The focus was not just on traditional security duties but also on direct action missions to neutralize threats posed by insurgents, which perfectly aligns with the capabilities of the 820th SFG.

In this context, the other operations mentioned—Operation Desert Shield, Operation Iraqi Freedom, and Operation Enduring Freedom—while significant in their own right, do not specifically refer to the targeted operations conducted by the 820th SFG aimed at insurgents in the Balad area. Operation Iraqi Freedom, for instance, was a broader campaign that included conventional and unconventional military actions across Iraq rather than the specialized efforts carried out under Desert Safeside.