Code Builder Extension Notification stays even after updating extensions

**Describe the bug**

Loaded a new Code Builder instance and saw a notification for 16 extensions that needed to be updated in the notification glyph. The issue is that *after* updating the extensions, the "16" notification glyph doesn't go away and the extensions still appear to need updates.

**To Reproduce**

Steps to reproduce the behavior:
1. Install Code Builder
2. Create a new Code Builder instance
3. After loading, notice the 16 notification glyph that there are extensions that need to be updated
4. Update all extensions
5. Click `Reload Required`
6. After updating all extensions, notice the 16 notification glyph is still visible

**Expected behavior**

After updating all extensions, it should no longer show a notification glyph that there are extensions that need to be updated given that we updated them.

**Screenshots**

After updating, see screenshot

**Desktop (please complete the following information):**
- OS: Mac OS Ventura 13.5.1
- Browser: Chrome
- Version: 117.0.5938.149

**Additional context**
Add any other context about the problem here.