We have released version v0.4.1 of DeliveryTracking for Chrome.
Between devices logged in with the same account (such as a browser's Google ID),
It is now possible to synchronize tracking numbers, etc.
You can enable syncing by turning on Sync Tracking Numbers Across Devices from Options Settings.
The synchronization interval is 1 minute.
DeliveryTracking for Chrome
https://chrome.google.com/webstore/detail/glfpmojodbbeelkfoiioalimbhjegbkf