
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 the polar equation of a circle is $\rho^{2}-4\sqrt{2}\rho\cos(\theta- \frac{\pi}{4})+6=0$.  
$(1)$ Convert the polar equation into a Cartesian equation;  
$(2)$ If point $P$ is on the circle, find the maximum and minimum values of the line segment $OP$.

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