The difference between “I used to” and “I’m used to”

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What is the difference between “I used to” and “I’m used to” and when to use each of them?

Here, I have read the following example:

I used to do something: “I used to drink green tea.”

“I used to drink green tea”, means that in the past I drank green
tea, but now I don’t. Used to describes an action that did happen, but
doesn’t happen now. Check out these great examples:

“When I was young I used to play with dolls, but I don’t anymore.”
“Before I passed my driving test, I used to cycle everywhere.”

I am used to something: “I am used to drinking green tea.”

“I am used to drinking green tea” means that at first, drinking green
tea was strange and unusual, but now it has become familiar. To be used
to describes an action that was, perhaps, difficult and is now easy.
“I am accustomed to green tea” has the same meaning.

But I do not know how accurate it is, so please could any one help me.