
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 $xOy$, the parametric equation of the line $l_{1}$ is $\begin{cases} x=t- \sqrt {3} \\ y=kt\end{cases}$ (where $t$ is the parameter), and the parametric equation of the line $l_{2}$ is $\begin{cases} x=\sqrt {3}-m \\ y=\frac {m}{3k}\end{cases}$ (where $m$ is the parameter). Let the intersection of lines $l_{1}$ and $l_{2}$ be point $P$. When $k$ changes, the locus of $P$ is curve $C_{1}$.
(1) Find the standard equation of curve $C_{1}$;
(2) Establish a polar coordinate system with the origin as the pole and the positive $x$-axis as the polar axis. The polar equation of the line $C_{2}$ is $\rho\sin (\theta+ \frac {π}{4})=4 \sqrt {2}$. If point $Q$ is a moving point on curve $C_{1}$, find the minimum distance from $Q$ to the line $C_{2}$.

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