feat(core): Parse individual cookies from cookie header

[github-actions]

Note

The pull request "feat(core): Parse individual cookies from cookie header" was created by @s1gr1d but did not reference an issue. Therefore this issue was created for better visibility in external tools like Linear.

Parse each individual cookie header and filter sensitive cookies to at least know which keys the cookie string included.

Follow-up on #18311

[linear]

JS-1275