
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
In a square ABCD with side length 1, let $\overrightarrow{AB} = \overrightarrow{a}$, $\overrightarrow{BC} = \overrightarrow{b}$, $\overrightarrow{AC} = \overrightarrow{c}$. Then, the value of $|\overrightarrow{b} - \overrightarrow{a} - \overrightarrow{c}|$ is \_\_\_\_\_\_.

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