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.
Legally I don't think a pardon makes the act not a crime, it just makes it unpunished. I could be wrong there though, that gets deep into legal pedantry.
Seems to work fine for product placement in other media. Apparently "clear and conspicuous disclosure" can be a footnote hidden somewhere in the credits.
It could also be a pop-up or a clear icon in a corner without disrupting the movie. It does not have to be baked into the video stream as long as it's displayed. I'm not sure what country you're in but some programs on TV or YouTube use this system and it's fine. No need to pause with flashing lights.
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."?