First, let's keep it real. Light speed(c) is unobtainable by macroscopic objects. So let's make it 99.9999999%c. Light doesn't care. It will still speed away from you at light speed relative to you.
Little Randy D: (((((Quick, Jane S, I’ll distract him while you escape.))))) “But it’s pudding time right now, and today is Thursday, so it’s chocolate.”
To me, that sounds like a variation of the old conundrum: 'If you fart while jogging at the speed of light, will it divert you from your planned trajectory (or not)?'