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Why is the British britbh instead of english?

If it refers to Britain before the merger of the Kingdom of England and the Kingdom of Scotland, then it is okay to use English. At that time, "Britain" refers to the kingdom of England, and English refers to the English people.

But now "Britain" refers to the United Kingdom of Great Britain and Northern Ireland, not the Kingdom of England. Today, the British include English, Scots, Welsh and Irish in Northern Ireland. It is wrong to refer to British English with prejudice.