AR 670-1 and Reusable Grocery Bags

Some states mandate their use, some people are just environmentally-friendly. In my case, WA state outlawed disposable bags. Shoppers can bring reusable bags or pay for a paper bag. What's okay for use of a reusable grocery bag in uniform?

Not a big issue; it just gets me every time I have to stop for groceries after work.

AR 670-1 states:
"f. Bags, handbags, purses, and backpacks are authorized, but must adhere to the following criteria:
(1) Hand carried bags will be conservative and professional in appearance. Bags (to include civilian gym bags, civilian backpacks, or other similar civilian bags) must be carried only in the hand if they do not meet the criteria outlined in paragraph 3–7f(2). DA Pam 670–1 provides additional descriptions and wear occasions for handbags.
(2) If Soldiers choose to wear a shoulder bag while in uniform, the bag must be black or match the camouflage pattern uniform being worn, and may not have any commercial logos. The contents of the bag may not be visible; therefore, see-through plastic or mesh bags are not authorized. Soldiers may carry authorized bags by hand, on one shoulder using a shoulder strap, or over both shoulders using both shoulder straps."