Where are the archives of the Olympian newspaper located, for the issue of July 16, 1967?

The Olympian itself does not have archives. You need to contact the Washington State Library in Tumwater to access microfilm of historical newspapers from all over the state. You can either go there (check the open hours) or request an Interlibrary Loan of the microfilm be sent to your own library to use there. https://www.sos.wa.gov/library/ask.aspx

You might reach out to your local library for that, or McClatchy Corporation which runs the newspaper today.