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Begrudge
Negative Feelings
Using 'begrudge' often implies negative emotions, suggesting jealousy or resentment towards someone's good fortune. 
Uneasy Acceptance
'Begrudge' can express a sense of conceding something, but with a lingering feeling of annoyance or jealousy. 
Cautious Empathy
It's used when acknowledging someone's success or happiness, but with a hint that you wish it were you. 