
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
An object moves 6 cm in a straight line from point $A$ to point $B$, turns at an angle $\alpha$, measured in radians and chosen at random from the interval $(0,\pi)$, and then moves 4 cm in a straight line to point $C$. What is the probability that the distance $AC$ is less than 6 cm?

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