Implement Sync v2

[cezaraugusto]

original comment from @bsclifton: #356 (comment)

browser-laptop implementation of the Sync v2 UI available here:
brave/browser-laptop#13197

Important issues to consider when implementing (we can create separate issues for these):

• sync v2: Add first-use wizard dialogs sync v2: Add first-use wizard dialogs browser-laptop#12269
• after sync reset, devices are not visible anymore if you try to re-sync after sync reset, devices are not visible anymore if you try to re-sync browser-laptop#13258
• sync v2: finish total sync-chain removal feature sync v2: finish total sync-chain removal feature browser-laptop#12364
• sync should clear clipboard data after 30s sync should clear clipboard data after 30s browser-laptop#13359
• Remove sync devices feature - Sync'd device manager Remove sync devices feature - Sync'd device manager browser-laptop#9254

[bsclifton]

Adding P1 label as iOS and Android already use the v2 UI spec

[kjozwiak]

@cezaraugusto @bsclifton marked this as QA/No as there's nothing specific here other than making sure syncing works. Please let me know if you feel differently!