
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 physics lab experiment, a certain fixed natural constant $k$ is measured as $3.56897$ with an accuracy of $\pm 0.00145$. The researcher aims to declare a value of $k$ where every reported digit is significant. The announced value must precisely reflect $k$ when it is rounded to that number of digits. What is the most accurate value that the researcher can announce for $k$?

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