
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 Cartesian coordinate system $xOy$, it is known that the unit circle $O$ intersects the positive half-axis of $x$ at point $A$, and $P(\cos 2,-\sin 2)$ is a point on the circle. The length of the minor arc $\overset{\frown}{AP}$ is ______.

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