That will be fun because it's illegal to accept money to promote a product without indication that you have done so. The FTC requires "clear and conspicuous disclosure" for such endorsements.

Crime is legal now

Seems to work fine for product placement in other media. Apparently "clear and conspicuous disclosure" can be a footnote hidden somewhere in the credits.

You can label the whole output, every time, right? May include sponsored content or something.

The chat interface has the disclaimer "AI responses may include mistakes." and that appears to be enough to relieve them of any responsibility for the responses. In a similar manner, wouldn't it be enough to add a disclaimer that says "AI responses may include sponsored content."?

Doesn't matter as long as you bribe the right people. The government is completely compromised.