根負け

こんまけ
to run out of patience with
to have tried and failed

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こんまけ【根負け】

～する have one's patience exhausted [worn down] 《by…》; lose one's patience [resolve]; give in [succumb] to….

●彼女は彼の熱心な口説きにとうとう根負けした. She finally succumbed to his impassioned pleas.

・相手が根負けするまで粘った. I held out until my opponent gave in.

・被害者たちの執拗な抗議に根負けした会社側はついに補償金を支払った. Worn down by the victims' tenacious protests, the company finally paid them compensation.