Alright so, I don't know how I did it but here's how it went
First, ensure the broken totem and the see invisible things totem are on the 2 circles, go inside the new room, then go back to the 2 circles and take the broken totem, then go up to the starting area where on the single button should be the totem that makes you invisible, replace that with the broken totem so that the invisibility one is what you hold
For some reason, after I bring the invisibility totem, I can still go in the new room, so I passed through the gates, pulled the lever, and there is another broken totem, get that, and use it to push one of 2 buttons in the previous room, so it can be guaranteed that you can place the invisibility totem together with it, then, get the see invisibility totem, go in the new room, and there will be another lever to pull
Ngl I feel like one part is buggy