
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
A line $l$ passes through point $M(-2,-4)$ and has a slope angle of $45^\circ$. It intersects the parabola $C:y^2=2px (p > 0)$ at points $A$ and $B$. The lengths $|MA|$, $|AB|$, and $|BM|$ form a geometric sequence.

(Ⅰ) Write the parametric equation of line $l$;

(Ⅱ) Find the value of $p$.

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