If you know the property value is either going to be "23691" or "26710", then you can use Conditional Name Mapping.
In NameMapping you could use wildcard https://support.smartbear.com/testcomplete/docs/reference/misc/using-wildcards.html for String, it can be * or 2???? rather than 23691 or 26710, but since it is an ControlID and in your case you are using Integer I am not sure your recognition will still work properly as you need something unique. Give it a try.
Another alternative is to pass the value during run as a project variable, you will also need to use https://support.smartbear.com/testcomplete/docs/reference/test-objects/members/common-for-all/refreshmappinginfo-method.html
Thanks for the feedback. The wildcard option won't work in this case because it's too broad. There are other ControlIds in that range that I need to exclude.
Passing the value as a variable is a good idea. I'll look into that option.
