So the short, and more accurate, answer to my question is --- nothing. There's nothing in the new EO that forbids you from doing anything you are currently doing. As a matter of fact it still strongly encourages people to wear face masks, so there's nothing for you to ignore.
The text in your post does not appear in the EO. You should read the EO, it's only a couple of pages.
The text in my post is directly from the Governor explaining his EO.
The effect of his EO most definitely does NOT encourage people to wear masks.
This EO puts more Texans and quite frankly the world at increased risk. There will be more infections, more deaths, and more chances for the virus to evolve a method to elude the current vaccine response.
There is no benefit to the citizenry as a whole other than to let the subset of vocal people who do not like masks endanger the rest of us.
There isn’t even a business benefit as those of us who felt comfortable enough conducting in person business while everyone wearing masks will stop this practice.
So you wanted to know what this EO prevents me from doing? It prevents me from patronizing local businesses who rescind their mask requirements. While the Texas state government may abrogate it’s responsibility, I won’t.