Upgrade from Chromium 83.0.4103.61 to Chromium 83.0.4103.97 (1.10.x).

[mkarolin]

Fixes #10075
Related PR: brave/brave-core#5789
Uplift from #10076

Submitter Checklist:

• Submitted a ticket for my issue if one did not already exist.
• Used Github auto-closing keywords in the commit message.
• Added/updated tests for this change (for new code or code which already has tests).
• Verified that these changes build without errors on
  • Android
  • iOS
  • Linux
  • macOS
  • Windows
• Verified that these changes pass automated tests (unit, browser, security tests) on
  • iOS
  • Linux
  • macOS
  • Windows
• Ran git rebase master (if needed).
• Ran git rebase -i to squash commits (if needed).
• Tagged reviewers and labelled the pull request as needed.
• Requested a security/privacy review as needed.
• If adding a new directory with NPM packages, ensure this directory is
  added to scripts/audit.js.
• Public documentation has been updated as necessary. For instance:
  • https://github.com/brave/brave-browser/wiki/Deviations-from-Chromium-(features-we-disable-or-remove)
  • https://github.com/brave/brave-browser/wiki/Proxy-redirected-URLs
  • https://github.com/brave/brave-browser/wiki/Fingerprinting-Protections
  • https://github.com/brave/brave-browser/wiki/Brave%E2%80%99s-Use-of-Referral-Codes
  • https://github.com/brave/brave-browser/wiki/Custom-Headers
  • https://github.com/brave/brave-browser/wiki/Web-compatibility-issues-with-tracking-protection

Test Plan:

Reviewer Checklist:

• New files have MPL-2.0 license header.
• Request a security/privacy review as needed.
• Adequate test coverage exists to prevent regressions.

After-merge Checklist:

• The associated issue milestone is set to the smallest version that the
  changes has landed on.
• All relevant documentation has been updated.

[kjozwiak]

Looks like both test-browser and test-install failed on macOS as per the following:

• test-browser failed as per https://ci.brave.com/job/pr-brave-browser-83.0.4103.97-1.10.x/3/execution/node/549/log/

17:39:30  [  FAILED  ] BraveRewardsBrowserTest.CheckIfReconcileWasResetEmpty, where TypeParam =  and GetParam() =  (31021 ms)
17:39:30  [568/568] BraveRewardsBrowserTest.CheckIfReconcileWasResetEmpty (31151 ms)
17:39:30  1 test failed:
17:39:30      BraveRewardsBrowserTest.CheckIfReconcileWasResetEmpty (../../brave/components/brave_rewards/browser/rewards_service_browsertest.cc:2941)

• test-install failed as per https://ci.brave.com/job/pr-brave-browser-83.0.4103.97-1.10.x/3/execution/node/584/log/

However, these are known issues and not blockers.

[kjozwiak]

Uplift into 1.10.x approved after deliberating with @brave/uplift-approvers. As per #10183 (comment), the failures on CI are known issues and not blocking uplift.