Prune console.log() (#5867)

Introduce a no-console rule in ESLint configuration and remove existing
console log statements throughout the codebase, replacing some with
warnings or comments.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-5867-Prune-console-log-27e6d73d365081bcbad8c36cfb5b258c)
by [Unito](https://www.unito.io)

src/stores/extensionStore.ts

@@ -65,7 +65,7 @@ export const useExtensionStore = defineStore('extension', () => {
     }
 
     if (disabledExtensionNames.value.has(extension.name)) {
-      console.log(`Extension ${extension.name} is disabled.`)
+      console.warn(`Extension ${extension.name} is disabled.`)
     }
 
     extensionByName.value[extension.name] = markRaw(extension)