
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
Triangle $OPQ$ is defined with $O=(0,0)$, $Q=(3,0)$, and $P$ in the first quadrant. Suppose $\angle PQO = 90^\circ$ and $\angle POQ = 45^\circ$. If $PO$ is rotated $-90^\circ$ (clockwise) around $O$, determine the new coordinates of $P$.

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