
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 bee starts flying from point $P_0$. She flies $3$ inches due southeast. For $j \ge 1$, once the bee reaches point $P_j$, she turns $45^{\circ}$ clockwise and then flies $j+1$ inches straight to point $P_{j+1}$. When the bee reaches $P_{10}$, how far from $P_0$ is she, in inches?

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