Fix sync resend (uplift to 0.66.x)

[brave-builds]

Uplift of #2959

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.

[AlexeyBarabash]

CI failed by this, not related to PR:

11:40:35  browser/ui/webui/navigation_bar_data_provider.h:6:  #ifndef header guard has wrong style, please use: BRAVE_BROWSER_UI_WEBUI_NAVIGATION_BAR_DATA_PROVIDER_H_  [build/header_guard] [5]
11:40:35  browser/ui/webui/navigation_bar_data_provider.h:20:  #endif line should be "#endif  // BRAVE_BROWSER_UI_WEBUI_NAVIGATION_BAR_DATA_PROVIDER_H_"  [build/header_guard] [5]
11:40:35  browser/ui/webui/navigation_bar_data_provider.h:14:  public: should be indented +1 space inside class NavigationBarDataProvider  [whitespace/indent] [3]
...
11:40:35  chromium_src/ui/base/webui/web_ui_util.cc:0:  No copyright message found.  You should have a line: "Copyright [year] <Copyright Owner>"  [legal/copyright] [5]
11:40:35  chromium_src/ui/base/webui/web_ui_util.cc:11:  Do not include .cc files from other packages  [build/include] [4]
...
11:40:40  content/common/frame_messages.h:0:  No #ifndef header guard found, suggested CPP variable is: BRAVE_CONTENT_COMMON_FRAME_MESSAGES_H_  [build/header_guard] [5]

[kjozwiak]

Approved uplift into 0.66.x. @bbondy also approved 👍

Please make sure that all the correct labels are being used and that the appropriate issue is moved into the correct milestone.