
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 $\begin{cases} x=t\cos \alpha \\ y=t\sin \alpha \end{cases}$ (where $t$ is the parameter), with the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis, a polar coordinate system is established. The polar equation of curve $C$ is $\rho^2-2m\rho \cos \theta -4=0$ (where $m > 0$).

(1) If point $M$ has Cartesian coordinates $(3,3)$ and point $M$ is inside curve $C$, find the range of values for the real number $m$;

(2) If $m=3$, as $\alpha$ varies, find the range of values for the chord length cut by line $l$ on curve $C$.

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