
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 Cartesian coordinate system, with the origin as the pole and the non-negative half of the x-axis as the polar axis, the equation of curve $C_1$ is: 
$$
\begin{cases} 
\left.\begin{matrix}
x= \sqrt {2}+\cos\alpha \\ 
y= \sqrt {2}+\sin\alpha
\end{matrix}\right.
\end{cases}
$$
($\alpha$ is a parameter), and the equation of curve $C_2$ is:
$$
\rho= \frac {8}{\sin(\theta+ \frac {\pi}{4})}
$$.
(1) Find the equations of curves $C_1$ and $C_2$ in the Cartesian coordinate system;
(2) From any point $P$ on $C_2$, draw a tangent line to curve $C_1$, and let the tangent point be $Q$. Find the minimum length of the tangent line $PQ$ and the polar coordinates of point $P$ at this time.

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