To get Team Galactic out of Mt Coronet, you simply need to defeat Cyrus at Spear Pillar, which is where you will encounter Palkia, Dialga, and Giratina. If you are playing Platinum, they will leave the moment you get out of the Distortion World.
you need to capture/kill palkia/dialga at mt cornet and go to team galactic base in veilstone city
once you go through mt coronet's summit (beating galactic's boss and catching the legendary) go to sunyshore city, via route 22
At the peak of Mt. Coronet.
Nope you can only get one from team galactic.
You have to go through Mt. Cornet a special way that will lead you up. It's very hard. When you get up, you will have to face team Galactic's boss; Cyrus. Now you have to catch/defeat Palkia when Cyrus summons him with the red chain that he crafted. When you do that there will be a mini cut scene.
When you get to the ruins
you have to beat team galactic at their HQ
When you have been all three lakes and had a chat or battle with all three team galactic commanders then the galactic boss in the Veilstone team galactic headquarters building the picture will be gone
Sorry if i get this wrong but i think mt. cornet
mt. cornet
you dont need them to
the one beside celestic town
get to the top of mt. cornet and you battle team galactic then go into the reverse world
you go to the oroburg entrince to mt cornet and use rck clime
After you free misprit, azelf and uxie from team galactic head quarters if that is the painting your talking about
You can find the Galactic Grunts at the top of Mt. Coronet. You will then fight 2 of the galactic commanders. You will fight them with Barry. Then, you enter the distortion world.
you need to fight the glactic boss at their h/q then go to spear pillar [mt cornet] and fight him again