This CL changes all the signature and usages of
SyncSettingsUtil.getIdentityError to take in a profile instead of a
SyncService.

This is to bring this closer to SyncSettingsUtil.getSyncError.

(cherry picked from commit 70ce7aaccecc495c20362ac063a9d93adb59d13b)

Bug: 330290259
Change-Id: I6c9ed40a63e46c63b570c5ae31270dabdb307d1a
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5377848
Reviewed-by: Boris Sazonov <bsazonov@chromium.org>
Commit-Queue: Ankush Singh <ankushkush@google.com>
Cr-Original-Commit-Position: refs/heads/main@{#1275089}
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5379708
Owners-Override: Krishna Govind <govind@chromium.org>
Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Commit-Queue: Krishna Govind <govind@chromium.org>
Reviewed-by: Krishna Govind <govind@chromium.org>
Cr-Commit-Position: refs/branch-heads/6367@{#292}
Cr-Branched-From: d158c6dc6e3604e6f899041972edf26087a49740-refs/heads/main@{#1274542}