[Android] Fix for settings migration (uplift to 1.19.x)

[brave-builds]

Uplift of #7575
Resolves brave/brave-browser#13522

Approved, please ensure that before merging:

• You have checked CI and the builds, lint, and tests all pass or are not related to your PR.
• You have tested your change on Nightly.
• The PR milestones match the branch they are landing to.

After you merge:

• The associated issue milestone is set to the smallest version that the changes is landed on.

[kjozwiak]

Win failed test-browser due to several reward failures as per https://ci.brave.com/job/pr-brave-browser-pr7575_android_settings_migration_fix_1.19.x-windows/1/execution/node/214/log/. However, these are known intermittent issues as per brave/brave-browser#12987, brave/brave-browser#12607, brave/brave-browser#12704, brave/brave-browser#12985, brave/brave-browser#12607, brave/brave-browser#12605 & brave/brave-browser#12632.

18:48:54  7 tests failed:
18:48:54      RewardsBrowserTest.BackupRestoreModalHasNotice (../../brave/components/brave_rewards/browser/test/rewards_browsertest.cc:304)
18:48:54      RewardsBrowserTest.ResetRewardsWithBAT (../../brave/components/brave_rewards/browser/test/rewards_browsertest.cc:375)
18:48:54      RewardsBrowserTest.UpholdLimitNoBAT (../../brave/components/brave_rewards/browser/test/rewards_browsertest.cc:398)
18:48:54      RewardsContributionBrowserTest.TipConnectedPublisherVerified (../../brave/components/brave_rewards/browser/test/rewards_contribution_browsertest.cc:586)
18:48:54      RewardsContributionBrowserTest.TipUnverifiedPublisher (../../brave/components/brave_rewards/browser/test/rewards_contribution_browsertest.cc:304)
18:48:54      RewardsPromotionBrowserTest.ClaimViaSettingsPage (../../brave/components/brave_rewards/browser/test/rewards_promotion_browsertest.cc:196)
18:48:54      RewardsPromotionBrowserTest.PromotionRemovedFromEndpoint (../../brave/components/brave_rewards/browser/test/rewards_promotion_browsertest.cc:231)

Restarting macOS as it seems like it was interrupted as per https://ci.brave.com/job/pr-brave-browser-pr7575_android_settings_migration_fix_1.19.x-macos/1/execution/node/186/log/.

20:24:27  Sending interrupt signal to process
20:24:27  [310/6018] CXX obj/components/sync/base/test_support/trackable_mock_invalidation.o
20:24:27  ninja: build stopped: interrupted by user.
20:24:27  script returned exit code 143

[kjozwiak]

Uplift into 1.19.x approved after deliberating with @brave/uplift-approvers. QA has verified the PR on Nightly as per #7575 (comment).