
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 $\triangle ABC$ and a point $M$ satisfying $\overrightarrow{MA}+ \overrightarrow{MB}+ \overrightarrow{MC}= \overrightarrow{0}$. If there exists a real number $m$ such that $\overrightarrow{AB}+ \overrightarrow{AC}=m \overrightarrow{AM}$ holds, calculate $m$.

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