
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 vectors $\overrightarrow{a}=(2,-1,2)$, $\overrightarrow{b}=(-1,3,-3)$, and $\overrightarrow{c}=(13,6,\lambda)$, if vectors $\overrightarrow{a}$, $\overrightarrow{b}$, and $\overrightarrow{c}$ are coplanar, find the value of $\lambda$.

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