
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 succession, which include 3 different commercial advertisements, 2 different promotional advertisements, and 1 public service advertisement. The last advertisement played must not be a commercial advertisement, and the promotional advertisements cannot be played consecutively, nor can they be played consecutively with the public service advertisement. How many different play orders are possible?

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