
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
Points $A$ and $B$ are on a circle of radius $7$ and the straight line distance $AB=8$. Point $C$ is the midpoint of the minor arc $AB$. What is the length of the line segment $AC$?
A) $\sqrt{74}$
B) $\sqrt{98 - 14\sqrt{33}}$
C) $\sqrt{90}$
D) $\sqrt{33}$
E) $5$

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