
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
Two concentric squares share the same center $O$ and have sides of length 2. The length of $\overline{AB}$ is $\frac{3}{4}$, and the area of octagon $ABCDEFGH$ formed in a similar manner as the original problem is $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m+n.$

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