Removes the debug alert() calls from the email magic-link flow.
Button now shows live feedback inline:
- 'Sending…' while the lookup is in flight (disabled + cursor-wait)
- 'Email sent ✓' on success (green fill)
- 'No account found' if no user matches the email
- 'Error — retry?' on network/API failure
- 'Enter an email first' if submitted empty
Clicking the button while showing a result resets it to the default label.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>