Refactor cookie handling

[barjin]

In a fashion similar to https://github.com/apify/crawlee/issues/3198, we should extract cookie handling from all parts of Crawlee and treat the Session instances as the single source of truth for the current request's cookie set.

Closes https://github.com/apify/crawlee/issues/2618 Closes https://github.com/apify/crawlee/issues/2744 Closes https://github.com/apify/crawlee/issues/3117

Child of https://github.com/apify/crawlee/issues/3090