
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
A certain company has $3$ equally difficult questions in its new recruitment interview. The probability that Xiaoming answers each question correctly is $0.7$. If each candidate has three chances, and once a question is answered correctly in any of the attempts, the interviewee passes, otherwise, questions are drawn until the third attempt, then the probability that Xiaoming finally passes the interview is ______.

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