
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 that the polar coordinate equation of curve $C$ is $ρ=2\sin θ$, and the parameter equation of line $l$ is $\begin{cases} x=-\frac{3}{5}t+2 \\ y=\frac{4}{5}t \end{cases}(t \text{ is the parameter})$. Let $M$ be the intersection point of line $l$ and the $x$-axis, and $N$ be a moving point on curve $C$, find the maximum value of $MN$.

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