A native American, I’ll ask for that regularly (6)

I believe the answer is:

lakota

'a native american' is the definition.
(the Lakota are a Native American people)

'i'll ask for that regularly' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'ill'+'ask'+'for'+'that'='illaskforthat'
The alternate letters of 'illaskforthat' are 'LAKOTA'.

I've seen this clue in The Times.

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