
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
Three two-inch squares are placed with their bases on a line. The center square is lifted out and rotated 45 degrees, and then centered and lowered into its original location until it touches both of the adjoining squares. How many inches is the point $B$ from the line on which the bases of the original squares were placed?
A) $2$
B) $3$
C) $2\sqrt{2}$
D) $4$
E) $5$

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