Wa Salamun Aleikum, dear brother!
Kindly read it in context.
17:77 Such has always been Our law with all of Our Messengers We sent before you. (Nations that drove them out suffered dire consequences.) You will never find a change in Our laws. [6:34, 6:115, 10:64, 17:77, 18:27, 33:38, 33:62, 35:43, 40:85, 48:23]
17:78 You shall commit yourself to reflect on the Divine Commands before sunrise and then carry on with your program until the darkness of night prevails. The Qur’an springs forth the light for you to brighten your way. The Dawn ushered in by the Qur’an will be self-evident to all. Its likeness is the dawn that brings light after a dark night. [42:38]
17:79 (As head of the state, you shall commit yourself to extra endeavor.) You shall even contemplate and work part of the night, from sunset to the darkness of night. (And your companions shall join you in this endeavor as needed 73:2-3). Soon, your Sustainer will raise you to a highly honored, praiseworthy station. [Maqaam-am-Mahmooda = Praiseworthy station that will be obvious to the friend and foe alike]
17:80 Say, “My Sustainer! Admit me in honor and let me depart in honor at every juncture of my life, and help me with strong support.”
17:81 (Time has come for you to) say, "The truth has come to light, and falsehood has withered away. For, falsehood is bound to wither away."
The verses are addressed to the exalted Prophet (second person singular).
For the timings of the daily dawn, please see your local media.
17:78 .... The Dawn ushered in by the Qur’an will be self-evident to all. Its likeness is the dawn that brings light after a dark night. [The Dawn here indicates a more sublime purpose. 42:38]
It is better to do Wudhu at the beginning of a session of reciting the Qur'an. It mentally prepares us to study the Book in all humility and respectfully focus on it for better understanding.
We may not need Wudhu for random look at a verse or a few verses.