Each of these grids is
a common logic puzzle genre. These genres are, in order:
Hidato; Str8ts; Battleships; Sudoku
Kakurasu; Skyscrapers; Minesweeper; Stars and Arrows
Tapa; Light and Shadow; Nurikabe; Fillomino
Solutions are below:
(Puzzles 2, 5, 6, and 7 were solved by Reinier.)
For the next step:
Each of the grids is a different color. (The grids on the right look black, but they are very dark shades of red, green, and blue.)
These colors are hexadecimal
11 in one of the channels, and 0 in the other two.
The text says "get to the heart of everything... all that is left is a single color". In all of the grids, the center cell is unclued; we can use the top right guide to convert the solutions to each puzzle to "shaded" or "unshaded", and then "add" the shaded colors together.
#000000 + #440000 + #220000 + #000000
+ #000000 + #000000 + #002200 + #001100
+ #000011 + #000044 + #000022 + #000011
... = 663399
This is a color that has the name "rebeccapurple" in the CSS color list; its "deeper meaning" is that it was named after Rebecca Meyer, who was a daughter of web designer Eric Meyer and who passed away at a young age due to a brain tumor.