Opening up a new tab and immediately being able to search is great, but trying to find general items that exist with the same name in multiple places is impossible. At the very least it could show those items the same way they’re shown in the general Figma search from the main UI.
But this is also lacking as you can see from some of the screenshots, as just the “Project” itself is sometimes not sufficient. Just showing a breadcrumb would greatly improve usability (Org Name > Team Name > Project Name > File Name).