
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
Segment $AB$ has midpoint $C$, and segment $BC$ has midpoint $D$. A new point $E$ is defined on segment $AB$ such that $BE$ is $\frac{1}{3}$ the length of $AB$. Semicircles are constructed with diameters $\overline{AB}$, $\overline{BC}$, and $\overline{BE}$. Segment $CP$ splits the region into two sections of equal area. What is the degree measure of angle $ACP$? Express your answer as a decimal to the nearest tenth.

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