You're conflating a few different concepts, and misunderstanding how DNA tests work. ...And the only thing any of this has to do with CRT is that these questions are a symptom of it.

Race, ancestry, and ethnicity are not synonyms.

Race is "A group of people identified as distinct from other groups because of supposed physical or genetic traits shared by the group. Most biologists and anthropologists do not recognize race as a biologically valid classification, in part because there is more genetic variation within groups than between them." (American Heritage)

Ethnicity refers to "people sharing a common cultural or national heritage and often sharing a common language or religion." (American Heritage)

Ancestry is biological lineage.

DNA tests approximate the location on the globe (overlaid with national borders) where your ancestors lived at some point in time. They do this by taking DNA samples of people from all around the world, mapping that with human migration patterns, and comparing your DNA to that data pool to determine the statistical likelihood that you're ancestors lived in a certain place within a certain time period in human history.

DNA tests do not determine race (social classification) or ethnicity (cultural classification). DNA tests can determine some physical traits, but not everyone with the same traits belong to what we might consider the same race. And not everyone who considers themselves to be of the same race have the same DNA.

There is no biological definition for the word "race".