refactor: wave 1 - extract leaf modules, rename catch-all files, split index.ts hooks

- Split 25+ index.ts files into hook.ts + extracted modules
- Rename all catch-all utils.ts/helpers.ts to domain-specific names
- Split src/tools/lsp/ into ~15 focused modules
- Split src/tools/delegate-task/ into ~18 focused modules
- Separate shared types from implementation
- 155 files changed, 60+ new files created
- All typecheck clean, 61 tests pass

src/shared/tmux/tmux-utils.ts

@@ -1,7 +1,7 @@
 import { spawn } from "bun"
 import type { TmuxConfig, TmuxLayout } from "../../config/schema"
 import type { SpawnPaneResult } from "./types"
-import { getTmuxPath } from "../../tools/interactive-bash/utils"
+import { getTmuxPath } from "../../tools/interactive-bash/tmux-path-resolver"
 
 let serverAvailable: boolean | null = null
 let serverCheckUrl: string | null = null