
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 $(xOy)$, with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, establish a polar coordinate system.

Given curve $C_{1}$: $(x-3)^{2}+(y-2)^{2}=1$, curve $C_{2}$: $\begin{cases}x=4\cos θ \\\\ y=3\sin θ\end{cases} (θ$ as a parameter $)$, curve $C_{3}$: $ρ(\cos θ-2\sin θ)=7$.

(1) Write the equation of $C_{1}$ as a parametric equation with $t$ as a parameter, transform the equation of $C_{2}$ into a general equation, and transform the equation of $C_{3}$ into a rectangular coordinate equation;

(2) If $Q$ is a moving point on $C_{2}$, find the maximum value of the distance from point $Q$ to curve $C_{3}$.

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