I can only imagine the difficulty of piecing as I never went through that process. Judging only from the words Ive read here of the people in piecing, it sounds like an extreme test of emotional strength. For even attempting it, I commend you and W.
That said, it is also difficult to read your posts as you come and write almost exactly the same post every month or two. W and OW had XYZ conversation and W lied or minimized or covered up or whatever. You keep expecting her to do something or be something and when it doesnt happen, you 'lose it'. So W 'acts better' and a few weeks later, the cycle is repeating.
Accepting the fact that W and OW do work together and continue to work together, what exactly are your boundaries? What kind of contact do you consider acceptable and what do you consider unacceptable? Are those clear to W? What are your actions if those boundaries are crossed? Are those responses consistent? Are they also made clear? Are you actually willing to implement any of these responses?