
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
Mirror \( \mathrm{C} \) will deflect the beam more by an angle of \( 2 \beta \) clockwise, and mirror \( \mathrm{B} \) will deflect the beam more by an angle of \( 2\beta \) counterclockwise. Determine the total deflection of the beam, \( \phi \).

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