take the point

verb2

1. •
   To grasp the essential meaning of what a person is saying, to understand a person's argument and point of view.

   • I take your point well enough, but mayn't you be after all quite wrong? — 1900
2. •
   To agree with what a person says, to be persuaded by their arguments.

   • "Then," said Mr Mifflin, cordially, "say no more. I take your point. My objections are removed." — 1914