
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
Let $O$ be the origin. Determine the scalar $m$ so that for any points $A,$ $B,$ $C,$ and $D$ if
\[2 \overrightarrow{OA} + 3 \overrightarrow{OB} - 4 \overrightarrow{OC} + m \overrightarrow{OD} = \mathbf{0},\]
then the points $A,$ $B,$ $C,$ and $D$ are coplanar.

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