
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 equations of circles $O\_1$ and $O\_2$ are $ρ=2$ and $ρ^{2}-2 √ {2}ρ\cos (θ- \dfrac {π}{4})=2$, respectively.

(1) Convert the polar coordinate equations of circles $O\_1$ and $O\_2$ to rectangular coordinate equations;

(2) Let the intersection points of the two circles be $A$ and $B$, find the parametric equation of line $AB$, and use the parametric equation of line $AB$ to find the length of the common chord $|AB|$.

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