Final update
The answer is
SPOTIFY
thanks to @Deusovi himself in the comments. It did cross my mind, but I didn't find a convincing explanation, especially one that would fit the hints:
The green thing? The sequence $a(n)$? The fact that we're looking for a verb (well, spotify can be sometimes used as a verb like many similar neologisms, but the puzzle didn't feature music - or perhaps I just didn't find it)? One hint that was removed now: "something good hidden in the puzzle, have you found it?" - it seemed to refer to the word mercy (unless this would make it too obvious a hint)? There are most likely a lot of references that I don't have here.
Update:
I think the answer is
TESTIFY
Explanation:
Now a letter was removed from the grid, only FIY remain in the crossword. Also it was given in the comments that the duos
clue is in fact irrelevant. I believe that the clue (name of a(n) ...)
indicates that the 7-letter answer is made of two parts: the name of a sequence (a(n)), and three letters suggested by the three dots. The three letters are IFY. The sequence is the Lorem Ipsum which is a common test filler to test page layout.
Previous partial answer:
Below is what remains after all words from the Lorem Ipsum are crossed out.
I first thought that
"The duos, disdain" meant that we are supposed to ignore two-letter words, but it turns out that this would change nothing to the result (the four letters that remain aren't part of such words). So, another option is that we are supposed to remove the letters DUOS from DEUSOVI. This leaves us with EVI.
Now, together, EVI and IKYF make 7 letters, which is the expected amount of letters in the answer. Yet they don't seem to combine well into a verb (what to do).

Ideas that don't work:
1. Relate the three dots from the last wall to the three dots from the keyboard and interpret the sequence $a(n)$ as the sequence of function keys.
2. Interpret the dots as a hint to "acronyms" and the letters FYI as such.
3. Reverse all relevant letters (such as FYI) as suggested by the mirror under the keyboard.
4. Look for a sequence of numbers with a particular name hidden in there (Like Fibonacci, etc.).