
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 parameterized equation of line $l$ as $\begin{cases} x = \frac{1}{2}t \\ y = \frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{2}t \end{cases}$ ($t$ is the parameter), if the origin $O$ of the Cartesian coordinate system $xOy$ is taken as the pole, the positive direction of the $Ox$ axis is taken as the polar axis, and the same unit length is used to establish the polar coordinate system, the polar equation of curve $C$ is obtained as $ρ = 2\cos(θ - \frac{π}{4})$.

(1) Find the slope angle of line $l$;
(2) If line $l$ intersects curve $C$ at points $A$ and $B$, find $|AB|$.

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