
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 1748, the famous Swiss mathematician Euler discovered the relationship between complex exponential functions and trigonometric functions, and wrote the following formula: $e^{ix}=\cos x+i\sin x$. This formula holds a very important position in complex analysis and is known as the "mathematical bridge." According to this formula, let the complex number $z={e^{\frac{π}{3}i}}$. According to Euler's formula, the modulus of the complex number represented by $\frac{z}{{1-i}}$ is ____.

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