feat: upgrade enterprise to 5.10.1, removing braze-client

[iloveagent57]

Draft PR to install enterprise 5.10.1 and remove edx-braze-client as a build requirement from edx-platform.
https://github.com/openedx/edx-enterprise/releases/tag/5.10.1
https://2u-internal.atlassian.net/browse/TNL-11905

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2U Release Notice: This PR has been deployed to the edX staging environment in preparation for a release to production.