
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 vectors $\overrightarrow{m}=(a+c, b)$ and $\overrightarrow{n}=(a-c, b-a)$, and that $\overrightarrow{m} \cdot \overrightarrow{n} = 0$, where A, B, and C are the interior angles of triangle ABC, and a, b, c are the respective sides opposite angles A, B, C.

(I) Determine the measure of angle C.
(II) Find the maximum value of $\sin A + \sin B$.

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