No copyright notice for the photo or the newspaper (San Francisco Examiner) can be found. No copyright renewals for the photo itself can be found. The search terms "Thomas Lehrer", "Tom Lehrer", "Anthony Bruno", "Tony Bruno", "Nick Bruno", and "Bruno of Hollywood" were used, but no relevant results were found.
Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (70 years p.m.a.), Mainland China (50 years p.m.a., not Hong Kong or Macao), Germany (70 years p.m.a.), Mexico (100 years p.m.a.), Switzerland (70 years p.m.a.), and other countries with individual treaties.
Uploaded a work by Bruno & Hollywood Nye [https://www.flickr.com/photos/tasmanianarchiveandheritageoffice/8114888516] from [https://www.newspapers.com/clip/117692970/tom-lehrer-in-c-1958/ Newspapers.com] with UploadWizard