
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
Points $P$, $Q$, $R$, $S$, and $T$ are located in 3-dimensional space with $PQ= QR= RS= ST= TP= 3$ and $\angle PQR = \angle RST = \angle
STP = 90^\circ$. The plane of triangle PQR is parallel to $\overline{ST}$. What is the area of triangle QST?

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