
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 a certain barometer, a small amount of air entered such that at $15^{\circ} \mathrm{C}$, when a well-functioning barometer shows $762 \mathrm{~mm}$, it shows only $704 \mathrm{~mm}$. The height of the air-free space at this moment is $143 \mathrm{~mm}$. When the conditions change to $30^{\circ} \mathrm{C}$, the device shows $692 \mathrm{~mm}$. What is the true barometric pressure?

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