Does it hurt to dry fire a new bolt action Tikka T-3 rifle? Put in an old piece of brass in the chamber? Buy a snap-cap of some sort? Sorry for the dumb question .... be gentle.
The Army dry fires their Sniper Weapon Systems when clearing the weapon. It's the last step. You visually and physically check the chamber then aim the weapon in a safe direction and dry fire.
The only time dryfiring MIGHT be a concern is on a rimfire. With that said, I know a guy who has had a Ruger mk3 for 30 years and he dry fires all the time and he says he has had zero problems.
Every time you dry fire a tikka, somewhere in Finland a puppy is kicked and a small child is slapped across the face. So, IMHO I wouldn't dry fire unless you hate puppies and children.
The only center fire I have seen that you should not dry fire is a Colt MK-III and IV revolvers as their firing pins are factory pressed in and only the factory has the tooling to fix them. But that is a revolver not a rifle.