If you can slowly twist them around with a pen or something until they're sideways enough to pull out, you might be able to pull off those three moves.
Yellow ones are just for show and can be immediately removed. They actually should not be there (Shown with the black circles) Orange is possible but tricky. Black, Good luck you'll have to be very quick.
I only realized the ones for show after I made the picture ) God damn, I wanna play Jenga now... One day, everyone in Sythe should get together and have a good old game of Jenga ;D
As for your blocks... Black line is showing the structure is not stable/straight. When removing the orange blocks... The red ones will go up in the center as the blue ones are pushing down on the end. The orange ones are serving as counter-weight for it not to collapse.
I agree with everything apart from the black line part The picture was taken at an angle. But yeah, I see now what would happen. You could most likely remove the first one, MAYBE the second. Then again, the structure itself is an impossibility due to the ONE block as a base. If it were even possible, I'm sure anything would tip it over.