The Playwriter daemon is not running

You clicked the Playwriter icon. It cannot turn green until a playwriter command runs on this machine. That first command starts the daemon.

npx -y skills add https://playwriter.dev

npx playwriter session new
npx playwriter -s 1 -e "context.newPage().then((p) => p.goto('https://example.com'))"

Or ask your agent to use the browser. After that, click the icon on a normal website tab to let your agents control an existing tab.