Based on the provided sources, it is not possible to determine whether the new Lipitor prescription will be more effective. The first source, Drug Patent Watch, provides information about the patent status of Lipitor but does not offer any specific details about its effectiveness compared to other medications.

The second source from NPR discusses a study comparing statins, a class of medications that includes Lipitor, with supplements in reducing cholesterol levels. The study found that statins were vastly superior to supplements in cutting cholesterol. However, this study does not specifically address the effectiveness of Lipitor compared to other statins.

The third source from Yale Medicine discusses Paxlovid, a medication used for the treatment of COVID-19, and does not provide any information about Lipitor or its effectiveness.

To determine whether the new Lipitor prescription will be more effective, it would be necessary to consult additional sources or consult with a healthcare professional who can provide personalized advice based on your specific medical condition and needs.

Sources:
[1] Drug Patent Watch: https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] NPR: https://www.npr.org/sections/health-shots/2022/11/06/1134094540/statins-vs-supplements-new-study-finds-one-is-vastly-superior-to-cut-cholesterol
[3] Yale Medicine: https://www.yalemedicine.org/news/13-things-to-know-paxlovid-covid-19