Apply new Lexicon 2 design to staging-processes-web

• Type: Task
• Status: Closed
• Priority: Trivial
• Resolution: Completed
• Affects Version/s: None
• Fix Version/s: Master
• Component/s: Content Publishing > Export/Import
• Labels: None
• Git Pull Request: https://github.com/brianchandotcom/liferay-portal/pull/58249

I open this issue since both of the linked ones depend on placing a management-bar on the publish-templates page.