PC instead of external recorder
Blackmagic Design's Decklink cards are a starting place for desktop computers: https://www.blackmagicdesign.com/products/decklink

For laptops there's both Intensity: https://www.blackmagicdesign.com/products/intensity

And UltraStudio: https://www.blackmagicdesign.com/products/ultrastudiousb3

Other companies also make such products (and even Blackmagic Design offer yet more options), but the above provides a range of answers to your question.