Is it dangerous to publicly surf the web while my browser is being run in an IDE?

Is it dangerous to publicly surf the web while my browser is being run in an IDE?

While developing web software, I typically run a browser (chrome) from my IDE. Here's an example launch.json in VSCode:

{
    // Use IntelliSense to learn about possible attributes.
    // Hover to view descriptions of existing attributes.
    // For more information, visit: https://go.microsoft.com/fwlink/?linkid=830387
    "version": "0.2.0",
    "configurations": [
        {
            "name": "vite dev",
            "type": "node",
            "request": "launch",
            "cwd": "${workspaceFolder}",
            "runtimeExecutable": "yarn",
            "runtimeArgs": ["dev"],
            "serverReadyAction": {
                "action": "debugWithChrome",
                "pattern": "127.0.0.1:.*m([0-9]+)",
                "uriFormat": "http://127.0.0.1:%s",
                "killOnServerStop": true
            }
        }
    ]
}

This launches a chrome instance with a separate configuration to my default one. Additionally, my IDE is attached.

Often, I use the same instance to lookup documentation on public websites with 3rd party content.

I'm looking for a browser agnostic answer. Is public browsing in such an instance significantly more risky or dangerous?