
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
Given the coordinates of points $A(2,1)$, $B(-1,-1)$, and $C(1,3)$, find the equation of the locus of point $Q$ that satisfies $\overrightarrow{PQ} = \overrightarrow{PA} + \overrightarrow{PB} + \overrightarrow{PC}$.

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