How to run same keyword test on different web servers

I assume you are refering to running in different environments where your URL may differer. There are a couple ways to accomplish this.

 

You can use wild cards in your name mapping for the main page URL. https://support.smartbear.com/testcomplete/docs/working-with/managing-projects/properties/open-apps/web-testing/url-processing.html

 

You can also create a Project Variable to use in your name mapping, like was suggested in your previous thread:

https://community.smartbear.com/t5/TestComplete-Functional-Web/How-to-concatenate-URL-and-use-the-variable-parameter-for-common/m-p/167985#M32913