[thoughtful]

First of all some of this might already be posted so i apoligize if i am just repeating what you mgith have read. Here are my opinions

1. Amethyst is a hexagon shaped crystal, also optical filters of that kind are used to study UV rays. Seeing this i agree with the suggestions that the teams might be 3v3 or 2v2v2, and that IR guidance might play a greater role.

2. I dont know much about baseball, but given that the John Neun and george burns have 3 as a very common number i would say that the matches might be 3 minutes or alliances of 3.

3. I would like to mention that the value of Pi is 3.14 could this be hinting that the total time for a match will be 3 minutes and 15 seconds. Also Pi is 22/7 does that bring anything in mind, if it does please do post.

4. "Look closely and you will see something between Pi, You and Me". Pay close attention this might be refferring to the fact that "you and me" are between Pi. Which can mean that the robots are in a pyramid or triangle shaped area. Also the riddle mentions looking closely;hence there might be something which very hard to see or cant be seen through human eyes, Again this hints toward IR

My conclusion:

The alliances will be 3v3, the field will remain rectangular. Autonomous will have a greater role to play. There will be IR or other navigational guidance. Also i beleive there will be some items in the center that one has to gather most to make points. The multiplier will be back.

PS:- I would be laughing at myself once the game is unvieled