Upgrade @metamask/bridge-controller to version 71.0.0

A new major version of `@metamask/bridge-controller`, 71.0.0, is now available. This issue has been assigned to you and your team because you code-own this package in the `core` repo. If this package is present in this project, please prioritize upgrading it soon to unblock new features and bugfixes.

No files or tests are named. Start by locating the project's reference to @metamask/bridge-controller, update it to version 71.0.0, and inspect any resulting compatibility changes. Done means the dependency is upgraded successfully and the project's existing checks pass.

Written by the indexing model from the issue text.