
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 polar coordinate system, the maximum distance from a moving point on the circle $\rho^{2}+2\rho\cos \theta-3=0$ to the line $\rho\cos \theta+\rho\sin \theta-7=0$ is $\_\_\_\_\_\_\_.$

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