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Choose the most natural and polite way for the coworker to offer some caffeinated assistance.
"You look like you're drowning in those reports! _____ grab you a coffee from the café downstairs?"
The correct answer is Would you like me to.
"Would you like me to [verb]?" is a standard, polite way to offer help in English. "Do you want that I..." is a common mistake caused by direct translation from other languages. "Will I" and "Am I going to" ask about future facts rather than making an offer.