name mapping ,change the value of an identification property

This is a mapped object right?

In which case, this: https://support.smartbear.com/testcomplete/docs/reference/test-objects/members/common-for-all/refreshmappinginfo-method.html

.. .might help?

Additional thought, your mapping appears to be to the container object that holds the button yes? That's the part with the dynamic identification property here? In which case, just ignore it. Search for the button directly from "panel1" (whatever that is - the parent object of the button container). Do a 2 level deep search for the button and the properties on the container cease to matter.

Unless there is something I'm not aware of preventing you from doing this ....

(I'm not clear exactly whats going on here. Do you have one button, which has dynamic properties? Or two buttons, with very similar properties, which you are trying to use a single name map for? If it's two buttons, are they present at the same time? Or is only one of them ever present? All these factors affect how you'd approach this ...)