Accepted point to charge with public burden (5)

I believe the answer is:

agist

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'burden' is the definition.
Both the definition and answer are verbs in their base form.
Maybe you can see a link between them that I can't see?

I can't explain the remainder of the clue.

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(Other definitions for agist that I've seen before include "Not liking the elderly" , "less pleasant to older folks, perhaps" , "Take in and feed" , "Prejudiced against older persons" .)

I've seen this clue in The Sunday Times and The Times.

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