fix: address Playwright API audit findings

- Replace deprecated Locator.Type() with PressSequentially() (node.go)
- Close page on Goto failure to prevent resource leak (playwright.go)
- Fix teardown order: close context before browser (playwright.go)
- Clean up resources on NewPage failure (interactive.go)
- Spawn cleanup goroutine on context cancellation in both constructors

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

interactive.go

@@ -95,6 +95,9 @@ func NewInteractiveBrowser(ctx context.Context, opts ...BrowserOptions) (Interac
 
 		page, err := res.bctx.NewPage()
 		if err != nil {
+			_ = res.bctx.Close()
+			_ = res.browser.Close()
+			_ = res.pw.Stop()
 			ch <- result{nil, fmt.Errorf("failed to create page: %w", err)}
 			return
 		}
@@ -112,6 +115,12 @@ func NewInteractiveBrowser(ctx context.Context, opts ...BrowserOptions) (Interac
 
 	select {
 	case <-ctx.Done():
+		go func() {
+			r := <-ch
+			if r.err == nil && r.ib != nil {
+				_ = r.ib.Close()
+			}
+		}()
 		return nil, ctx.Err()
 	case r := <-ch:
 		return r.ib, r.err