Pergola or patio cover? Here's the question we'll ask you
Not "which one do you want", but what are you going to do under it.
If you want an outdoor kitchen, a TV, furniture that stays out year-round, or a place to sit during a rainstorm, you want a patio cover. Solid roof, real protection, and the electrical to support it.
If you want a defined spot by the pool to sit in the summer, something that frames the yard without closing it in, and you're fine with sun coming through, a pergola is the right call and costs meaningfully less.
The space, the use and what's going underneath decide it. Tell us those three and we'll tell you which one you're actually describing.
What a pergola will and won't do. Read this before you buy one
A pergola gives you dappled shade. In July, in Texas, that is not the same as protection from the sun, and anyone who tells you otherwise is selling you something. If your goal is to be comfortable outside in peak summer, you want a cover.
A ceiling fan helps less than people expect, because a pergola is open on every side, so there's no ceiling to hold the moving air in place.
And the footprint is smaller than the number suggests. A 10×10 pergola is 10×10 to the outside of the posts. Once you account for the posts and any bracing, the usable area underneath is less than that. We size to the space you actually want to use, not to a round number.
Where the engineering changes the answer
Two real examples.
We had an attached pergola where the section of house it was meant to tie into had no structural element behind the wall to connect to. That's a stop-work problem for a crew using a generic plan. We analyzed what was there, designed a connection that met the requirement, and it went through.
On another build the client wanted wider openings between posts than the standard framing allowed. Rather than tell them no, we resized the beams to carry the longer span and kept the openings they wanted.
Generic plan sets get reused because they're easy to get approved. That works fine until your house doesn't match the drawing, and then the choice is either a design you didn't want, or someone who can actually run the numbers.