
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 a complex number $z_{1}=1+mi\left(m\in R\right)$ satisfies $z_{1}(1-i)$ is a pure imaginary number.<br/>$(1)$ Find $|z_{1}|$;<br/>$(2)$ If the complex number ${z}_{2}={z}_{1}(n+{i}^{3})(n∈R)$ corresponds to a point in the third quadrant of the complex plane, find the range of values for $n$.

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