
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
In the rectangular coordinate system, the equation of line $l$ is $x + y + 3 = 0$. In the polar coordinate system with the positive semi-axis of the $x$-axis as the polar axis, the polar equation of circle $M$ is $ρ = 2\sin θ$.
(I) Write the rectangular equation of circle $M$ and the parametric equation of line $l_1$ that passes through point $P(2, 0)$ and is parallel to $l$;
(II) Suppose that the two intersection points of $l_1$ and circle $M$ are $A$ and $B$. Find the value of $\frac{1}{PA} + \frac{1}{PB}$.

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