[0] https://www.theverge.com/2019/11/4/20942040/microsoft-projec...
Microdots managed about 32MiB / square centimeter (from the "you could fit the Bible 50 times in a square inch") measure. That's a completely arbitrary density to achieve, since it was photographs which were enlarged and shrunk, and you could hypothetically use any encoding for your gold etchings, and it also leaves out the question of "how fine can you etch gold plates while still having the engraving be 'robust'".
But in any case, that gives you a target area of ~325 square meters for a 100TiB archive.
That's a lot, but not like a crazy obviously impossible number like a million square km or something.
(Which isn't necessarily impossible, but still a lot, especially for an interstellar probe.)
That puts it in the realm of the Voyager probes for total cost.
But I was also extremely generous with the thickness in the first post. In real life they would almost certainly be closer to .05mm than 1.2mm, and probably not made out of solid gold.
The point was to show that even with some rather pessimistic assumptions the project was within human scale and even had some precedent.
Re: Falcon 9's, Voyager was lifted on a Titan IIIE, which had a LEO payload of 15,300 kg, compared to 22,800 kg for the Falcon 9 to LEO. Assuming Voyager was near the capacity of what could be ejected from the Solar System by a Titan IIIE, you'd need to send up ~7 Falcon 9's to Voltron together in orbit.