We purchased our home here last year and the 10’ x 13’ lanai came with slightly tinted acrylic sliders with screens. Last summer the space became too hot to inhabit on several afternoons. This summer we plan to add roll down solar shades (Coolaroo brand) to decrease solar gain as they did for the lanai attached to our previous home and increase privacy from our neighbors. We have no noise issues to deal with, so we’re pretty happy with the acrylics, which I assume were much cheaper than anything made of glass. If the shades (which are available at some big box stores like Lowe’s & HD) do not reduce the solar gain enough our next step may be to add lattice to the top of our adjacent pergola that covers our patio. Shades and lattice need little maintenance and won’t increase our electric bill.
Good luck in finding the best solution for your own situation.