[Android][Sync] Sync passwords from Android to Desktop

[AlexeyBarabash]

This PR forces passwords on Android to be saved into Profile Store instead of Account Store, this allows passwords to be synced.

Resolves brave/brave-browser#43303

Submitter Checklist:

• I confirm that no security/privacy review is needed and no other type of reviews are needed, or that I have requested them
• There is a ticket for my issue
• Used Github auto-closing keywords in the PR description above
• Wrote a good PR/commit description
• Squashed any review feedback or "fixup" commits before merge, so that history is a record of what happened in the repo, not your PR
• Added appropriate labels (QA/Yes or QA/No; release-notes/include or release-notes/exclude; OS/...) to the associated issue
• Checked the PR locally:
  • npm run test -- brave_browser_tests, npm run test -- brave_unit_tests wiki
  • npm run presubmit wiki, npm run gn_check, npm run tslint
• Ran git rebase master (if needed)

Reviewer Checklist:

• A security review is not needed, or a link to one is included in the PR description
• New files have MPL-2.0 license header
• Adequate test coverage exists to prevent regressions
• Major classes, functions and non-trivial code blocks are well-commented
• Changes in component dependencies are properly reflected in gn
• Code follows the style guide
• Test plan is specified in PR before merging

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, 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/Web-Compatibility-Exceptions-in-Brave
  • https://github.com/brave/brave-browser/wiki/QA-Guide
  • https://github.com/brave/brave-browser/wiki/P3A

Test Plan:

1. Create sync chain with Android and Desktop, enable passwords syncing
2. Login to some site on Desktop, save password
3. Ensure the password is synced to Android
4. Login to some other site on Android, save password
5. Expected the password from Android is synced to Desktop

[darkdh]

++

[github-actions]

The security team is monitoring all repositories for certain keywords. This PR includes the word(s) "password, login" and so security team members have been added as reviewers to take a look.

No need to request a full security review at this stage, the security team will take a look shortly and either clear the label or request more information/changes.

Notifications have already been sent, but if this is blocking your merge feel free to reach out directly to the security team on Slack so that we can expedite this check.

[brave-builds]

Released in v1.76.39

[hffvld]

Verified on Pixel 6 using version(s):

Device/OS: Pixel 6 / oriole-user 15 AP4A.241205.013 release-keys
Brave build: 1.76.40 
Chromium: 132.0.6834.111 (Official Build) canary (64-bit) 

---

Fresh install

STEPS:

1. Follow the STR/TP from [Android][Sync] Sync passwords from Android to Desktop #27271 (comment)
2. Verify

ACTUAL RESULTS:

• Verified that passwords that existed before creating the sync chain are synced between Desktop and Android after creating the sync chain.
• Verified that newly saved passwords after sync chain creation are synced between Desktop and Android.

---

2025-01-27_10-41-52.mp4

Upgraded profile

STEPS:

1. Install Brave 1.75.134 (where passwords are not synced and removed) on Android
2. Login to some site > Save the password
3. On Desktop go to some site > Save the password
4. Create a sync chain and enable Password syncing on both devices
5. Observe that Android passwords are not shown on Desktop - issue
6. Upgrade Brave on Android to 1.76.40
7. Go to Password Manager on both devices > Verify that all passwords are shown on both devices
8. Remove Android device from the sync chain > Verify that passwords are not removed from any of these devices

ACTUAL RESULTS:

• Verified that all old and newly saved passwords are synced between Desktop and Android after upgrading Brave from 1.75.134 to 1.76.40
• Verified that passwords are not removed from Desktop or Android after removing the Android device from the sync chain.

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2025-01-27_11-22-07.mp4