Steam years of service badge not updating
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Visit Stack Exchange Steam will always check for updates on startup and download and install them automatically to ensure that you're running the latest version.
In other words, my computer BSOD'd while Steam was sitting there running in the background in the System Notification Area.
This validation, I concluded, was just a sanity check to be sure that the unexpected killing of Steam didn't corrupt any of its files.
As Frank had said, leveling up your badges only increases its value (ie. Looking at your profile, you only have 1,088XP: Since your XP count went from 1,038XP (before your Yo S badge upgraded) to 1,088XP (after the upgrade) - You haven't reached the next level requirement (1,200XP for Level 11).
Another thing that is mentioned in the Steam forums, is allowing Steam to verify all of its files and then closing Steam properly (rather than letting Windows kill it as it shuts down).
What you'd do here is wait however long it normally takes to verify files and get into the main Steam interface, and then close Steam with the menu option (or system tray icon) before restarting it.
Additionally, Steam will occasionally verify all of its files, to ensure that everything is as it should be. This window is displayed while the update is installed or verification process is running to provide feedback to you (the user) that something is actually happening, rather than staying completely silent, leading you to think that the application hasn't started.
If the window appears every single time you start up Steam, you're probably experiencing an issue with Steam realising it has updated.
Try adding exceptions in these applications for your Steam folder and restart Steam to see if this resolves your issue.