
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 planar vectors $\overrightarrow{OA}$, $\overrightarrow{OB}$, and $\overrightarrow{OC}$ that satisfy $\overrightarrow{OA} \cdot \overrightarrow{OB} = 0$, and $| \overrightarrow{OA}| = |\overrightarrow{OC}| = 1$, $|\overrightarrow{OB}| = \sqrt{3}$, find the maximum value of $\overrightarrow{CA} \cdot \overrightarrow{CB}$.

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