
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
The volume of pyramid \(ABCD\) is 5. A plane is drawn through the midpoints of edges \(AD\) and \(BC\), intersecting edge \(CD\) at point \(M\), such that \(DM:MC = 2:3\). Find the area of the cross-section of the pyramid formed by the plane, given that the distance from this plane to vertex \(A\) is 1.

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