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This is a weird word. It's like confirming you heard and understand something, but doesn't mean you agree. So, "to consent" isn't 100% accurate. So, it's kind of like saying "to hear or "to be informed.
You received (受けた) some information. Now, you are going to take that information that you received and then revolve it (回る) around in your head to think about it. Hmmm... hmm... Ok, I like what I'm hearing. I am going to consent what it is you said. I am going to be informed now that I received the information and have revolved it around my brain a bit. Thank you.