Hi,
Firstly, welcome to BBS.
If the trigger adjustment screw is screwed in to such a depth it would suggest that the sear is barely engaging with the notch in the piston rod assembly when it is cocked and that is maybe why you need to push the trigger forward in order for it to engage; not a desirable situation since the trigger pull will probably too light!
As a first-off, screw out the trigger adjustment screw a few turns after unlocking it by means of the locking screw on the RHS of the trigger block and then re-lock it and try cocking it again. There should be now a more positive engagement of the sear with the notch. I hope this helps but I am sure others will be along soon to add further advice.