
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 tetrahedron $OABC$, a point $P$ in space satisfies $\overrightarrow{OP}=\frac{1}{4}\overrightarrow{OA}+λ\overrightarrow{OB}+\frac{1}{6}\overrightarrow{OC}$. If $P$, $A$, $B$, $C$ are coplanar, the value of the real number $\lambda$ is ______.

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