[Claude in Chrome] "started debugging this browser" banner shows on every tab: please add a built-in way to suppress it

The Claude in Chrome extension drives the browser via chrome.debugger (CDP), so Chrome shows the infobar "Claude started debugging this browser" on every tab whenever Claude interacts. It's persistent and appears across all tabs.

Current workarounds (user-side, not obvious):

• Launch Chrome with --silent-debugger-extension-api (must be added to every shortcut and Chrome must be fully restarted), or
• Force-install the extension via the ExtensionInstallForcelist enterprise policy (policy-managed extensions don't trigger the banner).

Request: an officially documented/built-in way to suppress this banner for the Claude extension, so users don't have to edit shortcuts or registry policies.