Upgrade @metamask/transaction-pay-controller to version 22.0.0

A new major version of `@metamask/transaction-pay-controller`, 22.0.0, 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.

Search the repository manifests and lockfiles for @metamask/transaction-pay-controller, then inspect the dependency's current usage before upgrading it to 22.0.0. Confirm that the package is present, the dependency files update cleanly, and the mobile project still installs and builds successfully.

Written by the indexing model from the issue text.