
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 that $\triangle A_1A_2A_3$ is an isosceles right triangle with $\angle A_1 = 90^\circ$ and equal legs $A_1A_2$ and $A_1A_3$, and for all positive integers $n$, $A_{n+3}$ is the midpoint of the line segment from $A_n$ to the midpoint of $A_{n+1}A_{n+2}$, determine the measure of $\measuredangle A_{44}A_{45}A_{43}$.
A) $30^\circ$
B) $45^\circ$
C) $60^\circ$
D) $90^\circ$
E) $120^\circ$

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