docs: add improvement task plan

.ai-work/01-fix-lint-and-ci.md

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+# 01. Fix lint and add CI scripts
+
+Status: pending
+
+Make the hygiene baseline green and easy to run locally/CI:
+
+- fix current `npm run lint` failures;
+- keep `npm run typecheck` green;
+- add a single verification script that runs typecheck and lint.

.ai-work/02-extract-shared-dto-event-types.md

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+# 02. Extract shared DTO/event types
+
+Status: pending
+
+Move duplicated API/session DTO definitions into shared modules used by both client and server.

.ai-work/03-split-client-api.md

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+# 03. Split client API into feature clients
+
+Status: pending
+
+Decompose `src/client/src/api.ts` into composable feature clients, shared HTTP helper, parsers, URL builders, and socket helpers.

.ai-work/04-extract-file-git-controllers.md

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+# 04. Extract file/git controllers from PiWebApp
+
+Status: pending
+
+Move file explorer and git orchestration out of `PiWebApp` into focused controllers.

.ai-work/05-add-vitest-unit-tests.md

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+# 05. Add Vitest and pure unit tests
+
+Status: pending
+
+Add a test runner and cover pure/domain logic such as route parsing, chat transcript updates, cache merge, path safety, and git parsing.

.ai-work/06-type-session-event-protocol.md

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+# 06. Type the session event protocol
+
+Status: pending
+
+Define a shared discriminated union for session UI events and use it across server event publishing, sockets, and transcript handling.

.ai-work/07-session-daemon-health-lifecycle.md

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+# 07. Improve session daemon health and lifecycle
+
+Status: pending
+
+Add health visibility and explicit lifecycle cleanup for the long-lived session daemon.