
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
What is the number of square units in the area of the octagon below?

Create a diagram similar to the one given, but adapted for an octagon bounded by the coordinates:
- (0,0),
- (1,3),
- (2.5,4),
- (4.5,4),
- (6,1),
- (4.5,-2),
- (2.5,-3),
- (1,-3).

Each side between sequential points is straight, forming an octagon centrally located within a \( 7 \times 7 \) square grid.

Present the answer in LaTex format: \boxed{Your answer}
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