
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 corresponding points of the complex numbers \( z_1, z_2, z_3 \) are \( Z_1, Z_2, Z_3 \), respectively. Given that
\[
\begin{array}{l}
\left|z_1\right|=\left|z_2\right|=\sqrt{2}, \quad \overrightarrow{O Z_1} \cdot \overrightarrow{O Z_2}=0, \\
\left|z_1 + z_2 - z_3\right|=1,
\end{array}
\]
determine the range of values of \( \left|z_3\right| \).

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