
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
Consider the curve $C$ with the parametric equation 
$$
\begin{cases} 
x=2+3\cos \theta \\
y=-1+3\sin \theta
\end{cases}
$$ 
where $\theta$ is the parameter. The equation of line $l$ is $x-3y+2=0$. Find the number of points on curve $C$ that are at a distance of $\dfrac {7 \sqrt {10}}{10}$ from the line $l$.

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