
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 parametric equation of curve $C$ is given by $\begin{cases}x=2+3\cos \theta \\ y=1+3\sin \theta \end{cases} (\theta \text{ is the parameter})$, and the equation of line $l$ is $x-3y+2=0$. The number of points on curve $C$ that are $\dfrac{7 \sqrt{10}}{10}$ units away from line $l$ is $\_\_\_\_\_\_$.

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