[orchestrator-v2] fix(orchestrator): Surface Claude background wake turns as continuation runs#3752

mwolson wants to merge 2 commits into

pingdotgg:t3code/codex-turn-mappingpingdotgg/t3code:t3code/codex-turn-mappingfrom

mwolson:fix/claude-wake-turnsmwolson/t3code:fix/claude-wake-turnsCopy head branch name to clipboard