Did Dumbledore's Fate Get Sealed in the Third Movie?

One intriguing fan theory points out a subtle foreshadowing of Dumbledore's death in the third Harry Potter movie. During a Christmas dinner, Sibyll Trelawny expresses fear about 13 people sitting at a table, as it's considered unlucky. To ease her concerns, Dumbledore stands up and leaves the table, becoming the first of those 13 to do so. As we later discover, Ron's rat was actually Peter Pettigrew, meaning that there were already 13 individuals at the table. This theory suggests that Dumbledore's fate was sealed when he became the first to leave, hinting at his eventual demise in the sixth movie.