
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 polar equation of curve C: $\rho^2 - 2 \sqrt{2} \rho \cos\left(\theta + \frac{\pi}{4}\right) - 2 = 0$,
(Ⅰ) If a line $l$ passes through the origin and has the shortest chord length when intersecting curve C, find the parametric standard form of line $l$;
(Ⅱ) Let $M(x, y)$ be a point moving on curve C, determine the maximum value of $x + y$.

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