Coin in question: N#331112
I have requested a table of mintages from the Austrian Mint (Münze Österreich) by emailing info@austrian-mint.at, and their office sent me the following document:
The mintage of Austria's commemorative 2 euro coin from 2022 (Erasmus Programme, ID: 331112) - initially believed to be 940,000 - is now stated as 2,540,000. Myself, as well as many other Austrian collectors, believe that this figure matches what is observed from both coin roll hunts and other hunts (i.e. vending machine hunts).
Given that this is from an email I am not sure how to link an official source, but you are invited to request the document from the Austrian Mint yourself if you wish by emailing the address above. Here is the official Austrian Mint website - scroll down to “Contact”, and you can see that the email is official. https://www.muenzeoesterreich.at/eng/info-centre/cash/the-euro
EDIT: The table given also lists mintages for the following coins for 2022 (which have not been updated as of yet)
N#9761 (9,100,000)
N#7905 (7,000,000)
N#7480 (8,400,000)
N#7927 (25,300,000)
N#7926 (15,700,000)
N#59 (16,700,000)
N#58 (58,400,000)
N#57 (38,000,000)
