After the question was asked, VS Code got many commits & Versions. Then some answers become unusable.
The Job:
My default browser is Edge, and I want to set "Chrome as the default browser for VS Code".
Current VS Code date is 2025-07-29
Go To File>Preferences>Settings
Then for the User go to Workbench>Scroll down and find External Browser
If you want to set different browser for a Workspace then select WorkSpace tab and Workbench group> scroll down and find External Browser
You can restart VS Code to check