
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
The imaginary unit is denoted as \\(i\\), and a complex number \\(z=a+bi\\) (where \\(a, b\\) are real numbers) satisfies the equation \\(z^2 + z = 1 - 3i\\). Find the modulus |z| of the complex number \\(z\\).

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