Good news! The anime series for The Princess, the Stay Cat, and Matters of the Heart Anime is now also available for purchase on Steam!
Initially meant to be available upon launch, there was a system-side issue that delayed the release a few days, but the full anime is now available as a single 42-minute episode!
https://store.steampowered.com/app/1072810/
It can also be purchased alongside the game and all DLC via The Princess, the Stray Cat, and Matters of the Heart - Stray Cat Bundle for an additional -15% discount.