Moving of bookmark may not be synced when bookmark is added during Looking for device state

[btlechowski]

Found while testing: brave/brave-core#4324

If bookmarks were added during Looking for device state, then moving of existing bookmark will not be propagated. Note: best to follow the STR

Important: Reproducible on 1.5.x, 1.4.x, 1.3.x. Not reproducible on 1.2.x

Steps to Reproduce

1. Clean profile DeviceA and DeviceB
2. DeviceA: create bookmark a1.com
3. DeviceA: create sync chain and copy code words
4. DeviceB: enter code words
5. DeviceB: [During Looking for device]create bookmark b1.com
6. Wait for sync
7. DeviceA: move a1.com after b1.com bookmark
8. Wait till the change is propagated to DeviceB

DeviceA: Ubuntu 18.04LTS
DeviceB: Windows 7x64

Actual result:

The moving of bookmark is not propagate to another device
DeviceA

DeviceB

Expected result:

The moving of the bookmark is always propagated

Reproduces how often:

100% repro rate with above STR

Brave version (brave://version info)

Reproducible on

Brave	1.5.69 Chromium: 79.0.3945.130 (Official Build) nightly (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Windows 7 Service Pack 1 (Build 7601.24544)

Brave	1.5.69 Chromium: 79.0.3945.130 (Official Build) nightly (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Ubuntu 18.04 LTS

Brave	1.3.106 Chromium: 79.0.3945.130 (Official Build) beta (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Ubuntu 18.04 LTS

Brave	1.3.106 Chromium: 79.0.3945.130 (Official Build) beta (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Windows 7 Service Pack 1 (Build 7601.24544)

Not Reproducible on

Brave	1.2.43 Chromium: 79.0.3945.130 (Official Build) (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Ubuntu 18.04 LTS

Brave	1.2.43 Chromium: 79.0.3945.130 (Official Build) (64-bit)
Revision	e22de67c28798d98833a7137c0e22876237fc40a-refs/branch-heads/3945@{#1047}
OS	Windows 7 Service Pack 1 (Build 7601.24544)

cc @brave/legacy_qa @jsecretan @AlexeyBarabash @darkdh @rebron @bsclifton

[darkdh]

This might be dupe of #7691

[btlechowski]

@darkdh Looks like it. Feel free to close one as a duplicate.