
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
In $\triangle PQR$, $PQ=PR=17$ and $QR=16$. Points $S$, $T$, and $U$ are on sides $\overline{PQ}$, $\overline{QR}$, and $\overline{PR}$ respectively, such that $\overline{ST}$ and $\overline{TU}$ are parallel to $\overline{PR}$ and $\overline{PQ}$ respectively. What is the perimeter of parallelogram $PSUT$?

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