Marauder, I suggest that you go to the bank, wait for a Platform Officer, and show them your card. I made my first reply because I thought there were errors with some of the numbers in your OP. But you also have some issues mushed up together that are confusing you. Just as one example, because Debit Cards can be used very much as if they were credit cards, many people don't make sufficient distinction between the two; both are likely to have Visa or MC logos on them. The question of whether your ATM Card has a chip on it isn't currently important - except as it MAY help to identify a legacy, or older product of Bank of America ...
Others here have disagreed with me, but I was told (ten ?? years ago) by the staff of my Bank of America branch that plain vanilla ATM cards (with no Visa or MC logo) would no longer work outside the United States. They were inducing me to accept the Debit card that had been automatically sent to me. I didn't want a debit card, but accepted it because I needed the international access.
Every issuer (... I'm referring to you AAA-branded card) make their own deal with the bank. So I can't say for sure, but I believe that both the 5% number and the 2% number in your OP are wrong. Most importantly, you use both the term ATM and the term credit card in the same sentence, about the same card. That is a strong indication that you don't understand exactly what product you have. Your later post suggests that you didn't think you had a credit card. But if it's AAA-branded, it probably is a credit card. Which is it?
Because any credit card, B of A or not, can get "cash advances" (at outrageous cost) from a B of A ATM, we still can't tell which product you are asking about.
Have you read about "Global Alliance" at Bank of America? Unfortunately, a page like this one https://www.bankofamerica.com/deposits/manage/faq-atm-fees.go will only be confusing if you don't know what your card actually is. And it's risky to assume that a card that merely says Bank of America in tiny print on the back (????) is, in ANY way, an "ATM" card.