
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 $PQR$ has $P=(0,0)$, $Q=(6,0)$, and point $R$ is located above the $x$-axis. Additionally, $\angle QRP=90^\circ$, and $\angle PRQ=45^\circ$. Determine the coordinates of the new position of $R$ after $R$ has been rotated $90^\circ$ counterclockwise about $P$.

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