你的信息语法是正确的,表达也很清晰。可以稍作调整以更自然的方式表达,例如:
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Hi Tpeter,
In the lesson, you sent the book (speaking and email to admin), but I think the person I contact on WeChat is different. The girl I communicate with is named Anne. If you see this message, could you please send the book again? Thank you very much!