I could not find any clue on how to solve it the right way but it can be solved using, once more, the assumption that there's no repetitions - the first/left marble is green.

I see that 3 lights need to be shut off on the stationary panel in the Chart Room. 1) the top left corner 2) the middle light on the left side of the grid and 3) the top middle light. The middle light on the left, #2), is controlled by the blocked passage panel. I did shut off #3) now I need to shut off the Corner light but I don't know how! I know there are 4 stationary panels , one at the entrance to the tunnels/rooms and 3 in the corridors. I clicked on ever one of them and was only able to shut off one light, #3) . How do I get that corner light shut off so the panel in the Star Chart room will work?

Have you looked down after turning the lever (assuming it moves)?

Not all of the 7 lights can be lit for the keypad panel near the star chart to work once pressed - look at the star chart!

Also there's no more lights to lit - doing a basic map will provide you with the info that:
- The keypad with button on the room that had the piano key doesn't light because the bottom middle light is missing on the panel.
- The 4 keypads with sliding panels are in rooms that correspond to the 4 corners of the 3x3 panels.
- The middle left light corresponds to the keypad with button that is blocked by the collapsed tunnel.

go to each sliding panel and just press any button, slide it back in and see which light it switches off,when you've got those three off go back to the star chart room and press that button at the bottom of the panel which will have the same pattern of lights as the other 4 panels, apart from the bottom button the panel is not active, you just need to replicate the pattern on all panels

steps going down

There's a bridge a bit under the water that moves each time you move the lever!

The top left drawing doesn't remind you of something with a button on it - the markings represent the lights that need to be lit!

You need to unlit some of the 7 lights on the 3x3 panels that you have lit in order for the panel near the star chart to work once you press the button!

Just go to the rooms/locations with panels and check if the corresponding light is to be lit or not - press the button or slide the panel out, change the pattern, slide the panel back in depending on the type of panel (don't forget to lit it again if its not supposed to be unlit).

Each time you move the lever found in the place where both stone steps join, an 'S' shaped bridge below the water rotates far below!

Face the wall where the light/images are being projected (assuming you have pressed the lamp switch near the water column), then look to your right for a (very well hidden) switch!

One that seems like a lamp on a pole (not the one on the bookshelf), near the water column, that projects light/images on the wall (or on the star chart if lowered) once pressed!

The other, that lowers the star chart, is real hard to see - look for it to the right of the wall where the light/images are projected near the area with the blinking light (you need to be real close to it for the hotspot to show).

The switch that projects light/images I'm talking about is not the one on the bookshelf (that turns off after a while) - its the one on a pole that, once pressed, projects light/images on the star chart (or in the wall if the star chart is not lowered yet).

Its not difficult to solve if you assume, once more, that there's no repetitions:
- The first/left marble is green (already in one of my previous posts).
- The last/right marble is pink.