
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 rectangular coordinate system $(xOy)$, the parametric equation of circle $C$ is given by $\begin{cases} & x=3+2\cos \theta , \ & y=-3+2\sin \theta \end{cases}$ ($\theta$ is the parameter).

(1) Establish a polar coordinate system with the origin as the pole and the positive half of the $x$-axis as the polar axis. Find the polar coordinate equation of circle $C$.

(2) Given points $A(3,0)$ and $B(0,-3)$, take an arbitrary point $M(x,y)$ on circle $C$. Find the maximum value of ${{\left| MA \right|}^{2}}+{{\left| MB \right|}^{2}}$.

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