move-active-tab-left by Miles Hochstein

Move Active Tab to Left helps you keep track of your workflow by automatically shifting your current tab to the far-left position. It transforms your tab bar into a time-based trail, letting you scan rightward to find tabs in the order they were last used.

Instead of remembering where a tab lives in the tab bar, this extension helps you find it based on when you last viewed it. Just toggle the red arrow to turn it on. When enabled, each time you switch tabs, the one you're viewing moves all the way to the left. Click the icon again to turn it off.

Lightweight, intuitive, and designed for tab-heavy users who want to stop hunting—and keep their current work easily findable on the left.