You would need a 1080p+ capture card and a HDMI splitter that bypasses HDCP
wemickna
Don't be to shure that this will work, because many streaming services here in 2021 has upgraded their DRM to counter attack this.
If a DRM supported unit is not detected, then the stream crashes emmidiately.
Some will then present you with a HDCP error or just tell "An unexpected error has accurred".
Been there and tried it, i also had such a splitter who could remove the HDCP, but one by one here in 2021 i began getting the error messages above and then decided just to throw that cheap HDMI splitter from China in the trash, but this is guaranteed to work instead:
Just get a regular powered HDCP splitter and then a HDMI recorder where you can switch off the HDCP (usually done using some update tool that comes with it).
HDMI Out 1 you hook up to your TV or AV Receiver
HDMI Out 2 is where you hook up the HDMI recorder, where the HDCP has been switched off.
Now you are fooling the streaming service in to detecting that only a HDCP compliant unit is hooked up and you can record as much as you want with the HDCP free HDMI recorder.