
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
Given that $OA$ is the radius of sphere $O$, $M$ is the midpoint of $OA$, and the plane passing through $M$ and forming a $45^{\circ}$ angle with $OA$ intersects the surface of sphere $O$ to form circle $C$. If the area of circle $C$ is equal to $\frac{7\pi}{4}$, find the surface area of sphere $O$.

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