Instead of glass railing we could have a railing like the one shown here. In our case, for the first flight the railing can be wood capping with wires holding the steps just like the railing here. For the second flight, the railing can continue for the inner part of the staircase closer to the wall. For the outer part we can have the wires from the ceiling to the steps (not all the way down as shown in the picture).
This one seems most similar to what you all have proposed. We like the dark staircase and how the capping complements it well. We don't know what material is the capping made of.
Q