When the set trigger is up, the lock will not go back in as it sticks up to hit the tumbler. Nothing wrong there. Set the trigger to install the lock but to need to set to cock the hammer is usually wood interference. The sear is not the set trigger. The set trigger just punches the sear at the tumbler. Notice the sear has a leg on it in a hole that is struck by the set trigger. The leg must be touching wood so when the set trigger is pushing against it. it can not engage the tumbler. Do not mix the sear with the set trigger. The set trigger is a flapper. Pressure from the set trigger can hold the sear so there must be clearance between the leg and trigger and is why a shim is recommended. The set trigger should not push the leg and that is too much metal and a trigger set too high.
A good set trigger does not push the sear leg. It just punches and relaxes like a firing pin on a double with a rebounding hammer. Mine have a spring to return the front to bottom after firing. The front trigger does not stick up. I have zero pressure against the sear leg. My front triggers go full forward. They snap the sear leg and return flat. If your front trigger still pushes you have a sad trigger. the trigger should flop free with no pressure at all.
A good set trigger does not push the sear leg. It just punches and relaxes like a firing pin on a double with a rebounding hammer. Mine have a spring to return the front to bottom after firing. The front trigger does not stick up. I have zero pressure against the sear leg. My front triggers go full forward. They snap the sear leg and return flat. If your front trigger still pushes you have a sad trigger. the trigger should flop free with no pressure at all.