Harry Potter and the Goblet of Fire Easter Egg - Reference to the Deathly Hallows

I think you are reading into things more than what they are. J.K. Rowling did not divulge any information about the books before they were finished. When they were making this movie, the book had not come out yet. This contraption in Dumbledore's office is just a coincidence.

I have found a reference in the Order of the Phoenix film to the 7th book. The first D.A. meeting is held in the Hog's Head. In the film we see a goat behind the bar, yet we only find out in the 7th book that Aberforth Dumbledor is the owner of the Hog's Head, who also has an obsession with goats!

Those Shapes or Symbols are Like the Ones on J.K. Rowling's Website.The Part Where you Go To Take The W.O.M.B.A.T. Examination you Will need to Put Them Together And Move The To the Other Side of The Table And you will See Harry Potter's and other main characters Family Tree.To Gain Access To The W.O.M.B.A.T. Examination (Which is Over Already But You May Get To Try It And Maybe Get a Certificate)Go To J.K. Rowling's Website and Click on The Pink Eraser When you Open The Door You Will See The Triangle The Circle and a Line Put it All Together and see Harry's Family Tree

No, I don't think its just a coincidence. JK Rowling told Alan Rickman herself, about character plot that appeared in the last book, while filming the first movie. She did it to better his performance and understanding of his character. So who's to say if she did or did not want a few foreshadowing props as well.