Not much for breakfast besides Starbucks and anthem coffee. There is elemental pizza and the Swiss. It is close to UW. So some good food. Have fun it's a great museum
Evergreen Cafe is super close to the museum. They have cheap breakfast and lunch. Savor Tacoma Creperie is close too.
There is a cafe called Evergreen Cafe that is literally across the street on the same side of Pacific. Starbucks, a cute little place near Starbucks (name escapes me), and a crepe place.
There is a few places including starbucks.or at freighthouse square which is a free trolley ride from the Tacoma dome parking garage...which. is across from Freighthouse square.
There's a Starbucks down the street (5 min walk) that has bagels, pastries, and some prepackaged food (including cheese and fruit and applesauce). There are a number of restaurants by the Starbucks (and one directly across from the museum), but I don't know of they serve breakfast.
There is a McDonald's thats not far but its a uphill walk there.
There's a brunch spot literally RIGHT ACROSS THE STREET. Not sure if they are family friendly, but I bet they'd whip up a killer to go order.
Starbucks
No not really closest place is Jack in the box across the street is a fine dining
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