I'm just going through the same process today, shims were out slightly but not enough to account for just how loud the tapping was. I investigating how to flip the shims out and I noticed that the furthest right shim had died funky gunky oil around the bottom whereas the other shims had more oil. Turns out that the top oil rail is blocked on the right hand side (as looking at the engine so really the left hand side) due to lack of servicing. I poured all oil over the shim and can and it ran quiet for a few seconds and then started getting louder. I had already done a full oil flush and changed oil and found after a run the tapping quietness down to what I would expect prior to doing the shims.
My advice, check that oil rail if the car's service history is questionable.