
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
The polar coordinate equation of curve $C\_1$ is $ρ=4\cos θ$, and the parametric equation of line $C\_2$ is $\begin{cases} x=3+4t \\ y=2+3t \end{cases}(t\text{ is a parameter})$.
(1) Convert $C\_1$ to rectangular coordinates.
(2) Determine whether $C\_1$ and $C\_2$ intersect. If they intersect, find the chord length. If they do not intersect, explain why.

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