refactor(web): rework applied-suggestion tracking 🚂#15727

Draft

jahorton wants to merge 14 commits intofeat/web/test-quotient-specialized-splitsfrom

refactor/web/applied-suggestion-tracking

Commits on Mar 12, 2026

feat(web): ensure all child spaces are notified when parent reaches end of a correction path
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feat(web): add multi-space search unit tests
jahorton
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refactor(web): rework SearchQuotientNode and add common node-linkage methods
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refactor(web): commonalize prior-result property
jahorton
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feat(web): add unit-tests that verify result propagation mechanisms
jahorton
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feat(web): implement dedicated substitution-spur class, tests
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feat(web): add dedicated quotient-spur type for insertion edits
jahorton
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fix(web): ensure insert quotient nodes both properly extend and forward parent results
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change(web): utilize search-analysis test-helper in tests
jahorton
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change(web): adjsut .edgeKey, .splitClusteringKey for insert-edge handling
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feat(web): add dedicated DeletionQuotientSpur type for handling deletion-edit search-graph edges
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feat(web): extend search-graph test-helper funcs to handle specialized spur types
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feat(web): add test for split operations on quotient-graph doc example
jahorton
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refactor(web): rework applied-suggestion tracking
jahorton
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