Or not lie and possibly not get fired? Surely better than lie and having the sword of Damocles hanging over his head for a long time, either because of part-tak

Or not lie and possibly not get fired? Surely better than lie and having the sword of Damocles hanging over his head for a long time, either because of part-taking in fraud or (indirect) blackmailing from the boss expecting more lies or other dishonest actions as a consequence.