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LLMs have a strong bias against use of African American English
(arstechnica.com)
This is a most excellent place for technology news and articles.
The difference here is mostly scope: AAE includes stuff like African-American Standard English (English as used by black people in more formal settings) and the written language, while AAVE refers only to the vernaculars.
Note that some don't even make this distinction, but I think that it's important.