
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 triangle ABC, the sides opposite to angles A, B, and C are a, b, and c respectively. Given that 2c•cosC + c = a•cosB + b•cosA.
(1) Find angle C;
(2) If point P is on side AB, and BP = 2, $sin∠PCA= \frac {1}{3}$, find the maximum value of CP + CB.

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