houstonwehaveaproblem, good evening.
What will happen to the plasterboard on completion? Painted? skimmed? papered?
How about considering cutting out the damaged area only, not replacing the full panel?
Cut the damaged area carefully to the nearest vertical stud, make the cut in the middle of the vertical stud.
If there is a horizontal noggin near then a similar cut can be made.
Or? if you can introduce a "new" noggin just above the damaged area between the two vertical studs, this may? cut down the area of off cut needed,
Check the sizes of off cuts you have before making a repair?
Then using an off cut make the repair.
Ken.