Changing bookmark location causes duplicate bookmarks

[srirambv]

Test plan

#10136 (comment)

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• Did you search for similar issues before submitting this one?
  Yes, didnt find any issues with bookmark tag

• Describe the issue you encountered:
  Changing bookmark location causes duplicate bookmarks

• Platform (Win7, 8, 10? macOS? Linux distro?):
  All

• Brave Version (revision SHA):
  Brave 0.16.3
  rev 9f7c3b7
  Muon 3.2.102

• Steps to reproduce:

  1. Create a bookmark folder
  2. Add a bookmark and add under the created folder
  3. Visit the site by clicking on the bookmark
  4. Edit the bookmark in the URL and change the location to Bookmark Toolbar
  5. Bookmark is duplicated under the folder and the toolbar

• Actual result:
  Changing bookmark location causes duplicate bookmarks

• Expected result:
  Should only have one bookmark and not duplicate. Behaviour is different from Chrome

• Will the steps above reproduce in a fresh profile? If not what other info can be added?
  Yes

• Is this an issue in the currently released version?
  Yes,
  Edit: Have checked it from 0.14.1 and its the same issue

• Can this issue be consistently reproduced?
  Yes

• Extra QA steps:
  1.
  2.
  3.

• Screenshot if needed:
  

• Any related issues:

[NejcZdovc]

Should be fixed in #10136