@Call_Me_Jay You seem to be confused about the social construct claim. Just because race isn’t a social construct doesn’t mean it isn’t real. A lot of constructs are real. Like @SavoirFaire said, language is a social construct. But that doesn’t mean English isn’t real.
Being a social construct also doesn’t mean biology has nothing to do with it, and I don’t think that anyone has argued differently. To the extent that the social construct about race is based on perceived physical differences that we assume go “straight down to the bone,” so to speak, biology is obviously part of the story.
But the point that social constructionists make is that those assumptions are false. We see stark physical differences when we compare the lightest white people to the darkest black people, and we assume that those differences indicate some generalizable biological difference that can separate all white people from all black people. But it turns out that isn’t true. There’s no way to define black people or white people based on physical traits that doesn’t accidentally lump people we think are white into the black category or black people into the white category (or other races, but I’m just using the two for the sake of simplicity).
I also think you are misreading @SavoirFaire. He didn’t say that race is “a conceptual framework takes it as an axiom that some people count as 100% white, black, Asian.” He said that the social construct about race depends on “a conceptual framework takes it as an axiom that some people count as 100% white, black, Asian.” So he wasn’t giving a definition of race. He was talking about one of the assumptions that went into the social construction (it was created by people who thought that some people count as 100% white, 100% black, or 100% whatever).
But I also don’t think the dictionary definition of “race” is where you should plant your flag. Dictionary definitions aren’t really useful in this kind of discussion. Dictionaries don’t get into the nitty gritty. They’re just glosses to help us get a general sense of how a word gets used in a language. The dictionary definition of “water” doesn’t say anything about H2O, and the dictionary definition of “murder” doesn’t say anything about it being morally wrong. But a scientific encyclopedia or a treatise on ethics would mention those things because they are more complete.