Well There Is No Wron Answer.I Would See If You Can Just Cut A Slot Next To The Hinge And Install A New Hinge.On The Other Hand It May Be Quicker And With Less Chanch Of Gluing It Up Wrong If You Cut And Replace.
A CA Hinge Is Fine If It Is Installed Correctly.It Is A Small Book On How To It.
I Do not Use Them In Bigger Ships ( There Are CA Hinges For Big Ship).I Like Pined Hinges Because They Are Stronger And Use Less Force To Move.