[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.
I'd bet that any civilization would be flying there ASAP to see what it is about.
The crux is really making a simple radio transmitter that can survive that long but the parameters are very weak (ie, the frequency is allowed to shift so long as it remains somewhat in a region that can be received on earth's surface, it needs a very long last power source but doesn't need a lot of power, unidirectional transmission is fine as long as it arrives).
Keep in mind that they don't know our written or computational language and there's nothing about our technology that is inherently self-explaining/obvious.
Even the assumption that they'd use binary computers (rather than trinary, or other technology not based around electrical voltages) is open to debate.
Not necessarily for aliens ... but why not keep a backup in a safe place outside the dangers of earthlings ?
OTOH, I think a sufficiently advanced alien intelligence will be able to decipher the information structures we use regardless of differences in technology. It's possible though there will be missing links in that archive, which will need to be supplemented with a primary secondary and high school curriculim.
If one were to receive an object, how would it be indicated that there is a message embedded in there? Given that a intelligence could recognize that there was a message embedded, could it eventually be deciphered?
If you assume motivated readers and human-level intelligence, you could end up with good results. It might take a decade or three, and a lot of mental firepower, but they could get there.
(The outer layer is the hardest, since our information density is lowest. Our "description of how to build a magnifying glass" might cover just the basic optics of curved glass and a very basic description of how to get to glass and how to curve it correctly, leaving a lot of the details up to the finder. After all, we did it without help. We're not so much trying to solve this problem for the finder as help them on their way.)
So, before jumping in to argue, remember I'm stipulating decades of dedicated effort by presumably an interested consortium of... whatever they are. I think we can safely stipulate an amount of effort at least as large as our society has dedicated to, say, Linear A and B, or the Voynich manuscript. I'm not trying to spec "Ugh wanders out of the jungle, sees our pretty rock, and personally has a 20th century civilization up and running in 10 years" or anything crazy.
Quite coincidental, there is currently an Anime running named "Dr. Stone" which is quite exactly about that; jump starting human civilizatio from the stone age to modern day as fast as possible. Atleast in-story it's been a few months and they're currently building radios and have a waterwheel generator.
In Vernor Vinge's "A Fire Upon the Deep", a very advanced civilization in the outer galaxy that can't reach where we are for $REASONS has as a persistent hobby speculation on the fastest way to bootstrap advanced civilizations, assuming essentially-perfect knowledge of physics instead of blundering around.