The answer is

TIC-TAC-TOE

Method:

Note that there are two patterns of dots recurring throughout the puzzle:

 • •         • •
  •    and
 • •         • •

They appear to be

a cross and a circle respectively.

This suggests that we are going to

play 'noughts-and-crosses', aka 'tic-tac-toe'!

So,

convert each section of 6×6 dots to a tic-tac-toe board and trace the winning row/column or diagonal.

Then considering the data given at the beginning and the end of the puzzle, we can extract the answer.

For example,

in the first board, we get a \ and the first number in the string (3) says we should take the 3rd letter of the set denoted by \, that is T.

The answer is

TIC-TAC-TOE

Method:

Note that there are two patterns of dots recurring throughout the puzzle:

 • •         • •
  •    and
 • •         • •

They appear to be

a cross and a circle when the dots are joined correctly.

This suggests that we are going to

play 'noughts-and-crosses', aka 'tic-tac-toe'!

So,

convert each section of 6×6 dots to a tic-tac-toe board and trace the winning row/column or diagonal.

Then considering the data given at the beginning and the end of the puzzle, we can extract the answer.

For example,

in the first board, we get a \ and the first number in the string (3) says we should take the 3rd letter of the set denoted by \, that is T.

The answer is

TIC-TAC-TOE

Method:

Convert each section of 6×6 dots into a 3×3 grid. And considering the remaining dots to be either noughts or crosses, we can play tic-tac-toe!
Then following the enumeration given below the puzzle, we find the corresponding letters according to the orientation of the lines we traced.

The answer is

TIC-TAC-TOE

Method:

Note that there are two patterns of dots recurring throughout the puzzle:

 • •         • •
  •    and
 • •         • •

They appear to be

a cross and a circle respectively.

This suggests that we are going to

play 'noughts-and-crosses', aka 'tic-tac-toe'!

So,

convert each section of 6×6 dots to a tic-tac-toe board and trace the winning row/column or diagonal.

Then considering the data given at the beginning and the end of the puzzle, we can extract the answer.

For example,

in the first board, we get a \ and the first number in the string (3) says we should take the 3rd letter of the set denoted by \, that is T.