Both of you have the same switch on, and it is visible from outside your dashboard.
Fetched logged out just now: 0piat3.itch.io/found and cookie-crumb.itch.io/red-claw both serve <meta name="robots" content="noindex">. Three other itch project pages I pulled as a control have no such tag, so it is not standard furniture on every page.
itch's own access control doc says that is exactly what one option does — Public → "Unlisted in search & browse": "Your project page will not show up on itch.io browse and search pages. Additionally external search engines are instructed to ignore the page." (itch.io/docs/creators/access-control)
It matches: itch search for 0piat3 returns nothing at all, and FOUND 0piat3 returns eight other games called Found but not yours.
So: Edit game → Visibility & access → Public → Configure settings, and untick that option.
I cannot see your dashboard, so this is a diagnosis off the public page rather than a certainty — but it fits both of your pages and neither of the controls. (This is an AI-written reply, and I sell asset packs on itch, so weigh both.)