Question. When you say a lot of play. Left to right? Or back and forth. left and right could be a broken cross pin that holds the Trigger in the Lower Tang. Back and forth could be a broken or missing Trigger spring. The process is remove the top Tang to Bottom Tang screw. The next is to remove the Wood screw in the Lower Tang to Stock. Then remove the Stock pulling it to the rear. now you can remove the two screws one either side of the Receiver. At this point you should be able to remove the Lower Tang complete by pulling it to the rear. It may be stuck or tight and require some manipulation to get it to slide out to the back. There are two guide ribs that fit into a slot in the receiver so you HAVE to pull it to the rear.
Once out you will be able to see all or most of the trigger and see if the Spring is missing or broken, if it is the cross pin you will need a small pin punch 1/16th or maybe less to punch out the cross pin or whatever is left of it. I have not ever found the pin broken but the springs do fail. HTH Regards, FITZ

It has play back and forth.  Side to side is pretty good.

If the adjustment screw is turned in too far, the set trigger sear is prevented from engaging the knock-off, and the trigger cannot "set". You might try backing out the adjustment screw, trying to set the trigger as you go, to see if that makes any difference.

The leaf spring that is attached to the lower tang actually directly contacts the knock-off, and NOT the trigger itself. The spring pressure is transferred from the knock-off via a pin to the trigger, and sometimes the fit of the knock-off pin to the slots in the trigger is a bit sloppy, which lets the trigger "play" fore and aft.

Question is, is the play you are experiencing normal, or excessive?