Which executive office, in Texas, holds the greatest amount of power/influence?

In order to limit the power of the executive branch in Texas, the framers of the Constitution split the executive branch into several different offices which are then place in a lateral power structure (no one is necessarily over another). As such, a perpetual debate has existed regarding which executive office holds the greatest amount of power/influence over Texas governance. Weigh in on this debate. Which executive office, in Texas, holds the greatest amount of power/influence. Support your answer with qualified evidence.  

Minimum of 500 words in length.

-Revised and edited. 

-Incorporates assigned article and textbook. 

-Clearly answers the question posed. 

-Organized well and concisely written. 

-All source material cited. 

For specific comments during grading, essays must be written using any word processor and then uploaded as an attached PDF (.pdf) file