Anthropic just made its Claude browser extension a lot smarter, and it can remember your conversations on desktop, web, or mobile. The Claude in Chrome side panel now runs as a full Claude Cowork session, meaning your conversations, skills, and connectors all carry over between your browser and Claude’s desktop, web, and mobile apps. Before this update, browser sessions stayed completely separate from everything else, so switching devices meant starting over.
How Claude in Chrome actually works now
Claude in Chrome can now see whatever page you are on and take real actions inside it, including clicking links, typing text, filling out forms…
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