I am sorry to hear that you have had such terrible luck when it comes to your XBox 360 and the Protection Plan. I have been taking a look at the verbiage on bestbuy.com (when you add the XBox 360 to the cart and look at the Terms and Conditions of the Geek Squad Black Tie Protection) and am going to summarize what I feel is applicable to this case. What it appears that you have had done is a series of 3 "Rapid Exchanges," where they take your old unit, and immediately send you out a new (refurbished) unit to you, so that your downtime is minimized. Generally, I have not seen customers have problems with the refurbished products, as they have gone through extensive quality control measures. For the pruposes of the No Lemon policy, however, Rapid Exchanges do not count as a "qualified repair" because they are not servicing the unit in question, you are having issues with a different unit each time, instead of one that can be considered a "lemon."
With that being said, I do feel for your situation, and I personally feel that an exchange (a PSP Fulfillment) might be called for. However, how I would deal with a customer at my store does not necessarily reflect how other stores would handle the same situation. I would suggest politely talking with the Manager on Duty at your local store to see if they will be willing to perform an exchange for you. The final discresion does lie in the hands of the Manager on Duty at the time, but calmly explaining the situation should help the MOD understand your frustration.
*Please remember to mark issues as Solved and to give KUDOS where appropriate... it helps motivate us to continue doing what we do*
*Although I work as an Operations Senior for BBY, my opinions are still just that, opinions, and do not necessarily reflect the views or policies of Best Buy*
