Update popup-redirect-cache.https.html to use dispatcher

This updates popup-redirect-cache.https.html so that it doesn't
break when third-party storage partitioning is enabled.

Bug: 1354602
Change-Id: Ida18292335a20b01b12671ebfefbfda56fb2a3d7
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/3849029


Reviewed-by: Arthur Hemery <ahemery@chromium.org>
Commit-Queue: Andrew Williams <awillia@google.com>
Cr-Commit-Position: refs/heads/main@{#1038347}