
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 $xOy$, establish a polar coordinate system with the origin $O$ as the pole and the non-negative half-axis of $x$ as the polar axis. The parametric equations of line $l$ are given as $$\begin{cases} x= \frac { \sqrt {2}}{2}+1 \\ y= \frac {1}{2}t\end{cases}$$ (where $t$ is the parameter), and the polar equation of curve $C$ is given as ρ=$2\sqrt {2}$sin(θ+$\frac {π}{4}$). Find the length of the chord cut off by line $l$ on curve $C$.

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