
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 TV station is broadcasting 6 advertisements in a row, including 3 different commercial ads, 2 different Olympic promotional ads, and 1 public service ad. The last ad cannot be a commercial ad, and the Olympic promotional ads cannot be played consecutively with each other or with the public service ad. How many different broadcasting methods are there?

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