"Application.Run" is really Begin -> Run -> Layout/Draw -> End -> Stop and includes RunState. Determine if there's a better name for all this functionality.

Background:
The current Run terminology encompasses multiple concepts:

• Beginning a run (Begin)
• The actual run loop (Run/RunLoop)
• Layout and drawing during each iteration
• Ending a run (End)
• Stopping a run (Stop, RequestStop)
• Managing run state (RunState)

Questions to Answer:

• Is "Run" the best term for this overall lifecycle?
• Should the different phases have more distinct naming?
• How does this relate to the Application lifecycle (Init/Shutdown)?
• What terminology would be clearest for users?

Tasks:

• Analyze current Run terminology and usage
• Propose improved naming scheme
• Get community feedback on proposals
• Create migration/deprecation plan
• Update documentation with clearer explanations

Acceptance Criteria:

• Clear, consistent terminology for run lifecycle
• Documentation clearly explains each phase
• Backward compatibility maintained
• Community consensus on naming

Related to: Issue #4329