
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 equations of the curve $C$ are given by $\begin{cases} x=4t^{2} \\ y=4t \end{cases}$ (where $t$ is a parameter). Establish a polar coordinate system with $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of the line $l$ is given by $ρ(4\cos θ+3\sin θ)-m=0$ (where $m$ is a constant).

(1) If the line $l$ and the curve $C$ have exactly one common point, find the value of the real number $m$;
(2) If $m=4$, find the length of the chord cut off by the line $l$ on the curve $C$.

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