New Jersey First Lady Tammy Murphy, who ran an unsuccesful campaign for U.S. Sen. Robert Menendez‘s seat earlier this year, said Tuesday she doesn’t want the job on a temporary basis now that the convicted senator is about to resign. Murphy, who ended her much-scrutinized bid for the Democratic nomination in March, announced she would not accept the appointment, which will be made by her husband, Gov. [Phil Murphy](https://www.nj.com/politics/2024/06/politics-in-new-jersey-has-gone-off-the-rails-even-by-new-jersey-standards.html). “I am thrilled that New Jersey will soon have the representatio…