Allow with regret (8)

I believe the answer is:

begrudge

(Other definitions for begrudge that I've seen before include "Envy, resent other's good fortune" , "Show envy" , "Envy (someone) the enjoyment of" , "Envy, have feeling of resentment" , "Reluctantly give up" .)

I've seen this clue in The Sun.

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