Looking at the data selection to export, I am not even sure this is included somewhere.
More explicitly, the UK's regulator says: "You should however note that if this ‘inferred’ or ‘derived’ data is personal data, you still need to provide it to an individual if they make a subject access request."
if (dob.month == december) $birthstone = quartz
select advert from adverts where stone = $birthstone
You would also need explicit concent to use the date of birth for advertising purposes.
However I am sure I got an interest profile, at least being used with the Discover feed on Android.
The discover feed on android is mostly powered by web search history, chrome browsing history, and location history. You can see all that here:
The problem with that being, of course, that any company participating in the bidding process can decide to store that information and build a profile that does have this information.
That correlation tends to take weeks worth of data to do with any accuracy, and by that time, all the opportunity to actually use the knowledge to place bids has gone.
The bidders can re-correlate if they actually make a bid, and use a creative to inspect their own cookies, and then resell that ad-spot, but typically that isn't worth it for small bidders (there's just too many devices on the internet - you'd need a huge ad budget), and large bidders are bound by privacy laws that stop them doing it (no investor wants the company the wrong side of an EU fine).
A few bidders used to do that on iOS devices, since the ads there are sufficiently valuable to make it worth it, but I haven't seen it for a few years.