
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
A bug (of negligible size) starts at the origin of the coordinate plane. For its first move, it travels 2 units right to $(2,0)$. It then continues following a sequence where each directional sequence includes a diagonal northeast move of half the preceding straight move before turning $90^\circ$ counterclockwise. Each straight move is half the length of the previous straight move. Determine which point it will come closest to once it completes several moves, following this new sequence.
A) $(1.5, 1.25)$
B) $(1.6, 1.2)$
C) $(1.75, 1.25)$
D) $(1.6, 1.1)$
E) $(1.45, 1.2)$

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