Remember and remind are both about memory, but they do not describe the same action.
You remember something yourself. There is no other person in the action.
Structure: remember + something, or remember + to + verb
Someone or something reminds you. After remind, there is always a person.
Structure: remind + person + to + verb, remind + person + that..., remind + person + about + something
Remind + person + of means that something brings back a memory, or looks or feels similar to something else.
"Remember me" means "don't forget me". It does not ask someone to help your memory.
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