
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
Given the parametric equation of line $l$ as $\begin{cases} x=3t \\ y=4t+m \end{cases}$ ($t$ is the parameter), and the polar coordinate equation of circle $C$ as $\rho=2\cos\theta$. If the chord length formed by the intersection of line $l$ and circle $C$ is $\sqrt {3}$, find the value of $m$.

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