
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 parallelogram $ABCD$, points $P$, $Q$, $R$, and $S$ are the midpoints of sides $AB$, $BC$, $CD$, and $DA$, respectively, and point $T$ is the midpoint of segment $SR$. Given that the area of parallelogram $ABCD$ is 120 square centimeters, what is the area of $\triangle PQT$ in square centimeters?

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