Assuming we are talking about a "double set trigger", don't mess with the screw between the triggers.
It is only there to adjust how much travel the front trigger must move before it releases the rear, "set" trigger.
If it is screwed in too far it can make the trigger too easy to release with only the slightest bump on the stock. This can make the gun dangerous whenever the hammer is in the fully cocked position.
If it is a single trigger, being loose is the name of the game. I've known people who improved this loose trigger thing so there was no slop in the front trigger but found they had created a dangerous weapon that could accidentally fire if it was bumped hard.
There is supposed to be some clearance between the trigger blade and the sear arm so the sear can fully engage the full cock notch in the tumbler. If something prevents this from happening, the lock might be released at the slightest bump.
