storkit: done 442_refactor_deduplicate_stage_display_name_into_shared_module

.storkit/work/5_done/442_refactor_deduplicate_stage_display_name_into_shared_module.md

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+---
+name: "Deduplicate stage_display_name into shared module"
+---
+
+# Refactor 442: Deduplicate stage_display_name into shared module
+
+## Current State
+
+- TBD
+
+## Desired State
+
+`stage_display_name` has a `pub fn` in `chat/transport/matrix/notifications.rs` and a private copy in `chat/transport/matrix/delete.rs` with slightly different casing ("backlog" vs "Backlog", "in-progress" vs "Current"). The delete.rs copy should use the canonical version from notifications.rs, adjusting the callsite if the casing difference matters.
+
+## Acceptance Criteria
+
+- [ ] Private stage_display_name in delete.rs is removed
+- [ ] delete.rs uses the pub version from notifications.rs
+- [ ] Display casing is consistent or callsite is adjusted to handle the difference
+
+## Out of Scope
+
+- TBD