CAUTION: The following post includes loading data beyond or not covered by currently published maximums for this cartridge. USE AT YOUR OWN RISK. Neither the writer, The Firing Line, nor the staff of TFL assume any liability for any damage or injury resulting from use of this information.
I think you've got Federal Gold Medal match ammo for either 308 or 30-06. Both are made with the Sierra 168-grain bullet.
The Gameking will have a thicker jacket, tending to raise start pressure a little, but it will be shorter, tending to lower it a little, so this may be a wash if the COL is kept the same.
But I can't know for sure without trying it. So your best bet is to pull 6 rounds and combine
the powder and weigh it and divide by 6 to get the average charge weight for your lot of ammunition. Next load one 10% below that average using your GameKing bullet. Load the next 8% low, the next 6% low, the next 4% low and one 2% low and one with the full average charge. Shoot them in order of increasing change weight, checking each one for pressure signs.
Chances are you'll be fine, but that safety step doesn't use up much ammo and gives you some insurance that all is well.