Dont’ use grease, grease will make the parts stick.
Disassemble the lock, clean it will with some dawn and a scrub pad.
Once clean wipe it down with some alcohol to remove any remaining residue.
Check the frizzen foot for burrs, you can rube a paper towel over the parts, when the towel catches that’s a bur, polish out the burrs with some 220 grit paper, you may even want to rub the frizzen foot on some 220 paper a few times (not aggressively).
Once you’ve cleaned up the frizzen check the frizzen spring upper leaf, check the wear on it (carefully Charleville frizzen springs will break if compressed too tightly). You can polish the top of the leaf spring with some 220 paper.
Check the pan bridles, and plate, make sure the area’s are not damaged or have any burrs, repeat the polishing.
Lastly check the screw for straightness, and check the health of the threads if they look mangled then there’s a thread issue in the plate and or screw, you’ll need some help with that.
If the screw is bent then the bridle and plate screw hole are off alignment (this is not likely with your lock, but not improbable).
Wipe off any residue from polishing with alcohol, reassemble, lubricate with light machine oil (NO GREASE !) Grease will slow the lock down, you can use machining oil, tap oil, CLP any, you can even use transmission fluid or motor oil. My personal fav are those foredom oil pens on amazon.
If all fails then you’ll need someone to inspect the lock for appropriate tuning, it’s possible your spring is too strong or the frizzen has lost some of its hardness and the flints are gouging the steel. Again these are not common issues with this lock, as it is the best military musket lock probably in service.
Good Luck