Why can't we get my back cylinder to quit tapping

What is your question?

Will my car tap last forever or do another valve clearance adjustment. I bought a type s jdm motor , when starting found I had a stuck valve. Needless to say I did break it free and after 3 valve clearance adjustment I still have a slight the tap that stays with engine rpm. At first it was very loud I have it now where it's barely hearble but still iratating. Any suggestion

What makes this problem better or worse?

Worse when warm

How long has your 2001 Acura CL had this problem?

A week