我已经记住您下面回复的信息了
I have noted the information you answered below.
讲解如下：
有问题，因为note做动词有如下用法和意思：（来源：柯林斯英汉双解大词典）
8.V-T If you note a fact, you become aware of it. 注意到
例：The White House has noted hispromise to support any attack that was designed to enforce the UN resolutions.
白宫已经注意到他支持任何旨在加强联合国决议的抨击的承诺。
Suddenly, I noted that the rain had stopped.
突然，我注意到雨已经停了。
9.V-T If you tell someone to note something, you aredrawing their attention to it. 注意
例：Note the statue to SallustioBandini, a prominent Sienese.
注意那座萨卢斯蒂奥·班迪尼的雕像，一个杰出的锡耶纳人。
10.V-T If you note something, you mention it in orderto draw people's attention to it. 提到
例：The report notes that export andimport volumes picked up in leading economies.
该报道提到主要经济大国的进出口额增加了。
11.V-T When you note something, you write it down asa record of what has happened. 记录
例："He has had his tonsils outand has been ill, too," she noted in her diary.
“他已经做了扁桃腺切除，又一直在生病。”她在自己的日记中写道。
They never noted the building's history of problems.
他们从未记录过那座建筑的问题的历史。
从所有的用法看，没有记住的意思，只表示记下了。
所以，要记住，得：
(来源：新汉英大辞典)
记住 [jì zhù]
remember; learn by heart; bear in mind; commit to memory: keep inmind;
learn the poem by heart;把这首诗记住
We must bear in mind these lessons paid for with blood.我们要记住这些血的教训。
从而，你那句话可以如下翻译：
I will keep/ bear your response and the information in mind.
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