Hi dougadams727,
Welcome to the Sony Community!
If you're trying to download or install apps to your camera, we recommend doing so with a computer. Sign in to your PSN account to purchase your preferred PlayMemories Camera apps. Follow the 4-step guide on how to install the apps to the camera.
If you're still getting the reCAPTCHA error even when using a computer, please contact the PlayStation support team.
If my post answers your question, please mark it as "Accept as Solution". Thanks_Mitch
