
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 TV station broadcasts 6 advertisements in a row, including three different commercial advertisements, two different Asian Games promotional advertisements, and one public service advertisement. The last advertisement cannot be a commercial advertisement, and the Asian Games promotional advertisements and the public service advertisement cannot be played consecutively. Also, the two Asian Games promotional advertisements cannot be played consecutively. Find the total number of different broadcasting methods.

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