
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 the complex plane, the points corresponding to the complex numbers \( z_{1}, z_{2}, z_{3} \) are \( Z_{1}, Z_{2}, Z_{3} \) respectively. If \( \left|z_{1}\right|=\left|z_{2}\right|=\sqrt{2} \), \( \overrightarrow{O Z_{1}} \cdot \overrightarrow{O Z_{2}}=0 \), and \( \left|z_{1}+z_{2}-z_{3}\right|=2 \), then the range of values for \( \left|z_{3}\right| \) is $\qquad$.

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