
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 equation of curve $C$ is $\frac{x^2}{4} + \frac{y^2}{5} = 1$, with the origin as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established. The polar equation of line $l$ is $\rho\cos(\theta - \frac{\pi}{4}) = 2\sqrt{2}$.
(Ⅰ) Find the Cartesian equation of line $l$;
(Ⅱ) Given $M$ is any point on curve $C$, find the minimum distance from point $M$ to line $l$.

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