Reland "[Android] Enable UNO flags in bookmark tests"

This is a reland of commit 44bd0634f09c57a8c5f95104848cbce302aa6005

This CL disables an additional test that was failing after
enabling bookmarks flags: BookmarkTest#testSmallDrag_Up_BookmarksOnly

Original change's description:
> [Android] Enable UNO flags in bookmark tests
>
> As a first step to remove the deprecated pre-uno logic in bookmarks,
> This CL removes READING_LIST_ENABLE_SYNC_TRANSPORT_MODE_UPON_SIGNIN
> and SYNC_ENABLE_BOOKMARKS_IN_TRANSPORT_MODE from the tests or enables
> them by default when it's needed, as both flags are now enabled by
> default on Android.
>
> Bug: 350461111, 344981899
> Change-Id: I4ee228a271dd821ed614ee72914d41539851c77b
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6108744
> Reviewed-by: Boris Sazonov <bsazonov@chromium.org>
> Commit-Queue: Menghan Yang <myuu@google.com>
> Cr-Commit-Position: refs/heads/main@{#1400280}

Bug: 350461111, 344981899, 386200110
Change-Id: I727211473fdd7c7f7e3e404add60897e56235c04
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6110124
Reviewed-by: Boris Sazonov <bsazonov@chromium.org>
Auto-Submit: Menghan Yang <myuu@google.com>
Commit-Queue: Boris Sazonov <bsazonov@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1401348}