fix(sidebar): read betterSidebar via ctx.get() in all internal consumers

Under the DSH 0.1.1-rc.x web shell, the Cordis plugin loader registers
the provided betterSidebar impl on a neighboring fiber that is not on
the rendering fiber parent chain, so every direct ctx.betterSidebar
read inside the plugin own tree throws

  cannot get property "betterSidebar" without inject

and the panel dies inside RenderBoundary on page load (observed with
0.14.0 and 0.15.2 on npm-installed dsh 0.1.1-rc.2). This is the same
failure class #135 fixed for the dsh-web-mobile path; declaring
betterSidebar in the plugin own inject would deadlock the fiber (it
waits for the service before running apply, but the service is only
provided inside apply).

ctx.get() resolves through the root reflect store and is unaffected by
the fiber chain, so all 26 internal reads switch to it. External
consumers keep using ctx.betterSidebar after injecting it, unchanged.
Test mocks gain a matching get() shim.

tests/bottom-auto-terminal.spec.tsx

@@ -65,6 +65,7 @@ function mountSidebar(): MountedSidebar {
     locale: { subscribe: () => () => {}, getSnapshot: () => localeSnapshot },
     sessions: { list: { subscribe: () => () => {}, getSnapshot: () => sessionsSnapshot } },
     betterSidebar: service,
+    get: (name: string) => name === 'betterSidebar' ? service : undefined,
   }
   const root: Root = createRoot(container)
   act(() => { root.render(createElement(Sidebar, { ctx: ctx as never, store })) })

tests/editor-host.spec.tsx

@@ -40,6 +40,7 @@ function setup(): {
   const sessionsSnapshot = { byId: { 'editor-home-session': { cwd: '/tmp' } }, current: 'editor-home-session' }
   const ctx = {
     betterSidebar: service,
+    get: (name: string) => name === 'betterSidebar' ? service : undefined,
     sessions: { list: { subscribe: () => () => {}, getSnapshot: () => sessionsSnapshot } },
   } as unknown as Context
   return { store, ctx, homeTab }

tests/openpath-intercept.spec.ts

@@ -108,6 +108,9 @@ describe('open-path interception wiring', () => {
       },
       workspaces: funnel,
       betterSidebar: { openTab: (seed: unknown) => { opened.push(seed as Record<string, unknown>) } },
+      get: (name: string) => name === 'betterSidebar'
+        ? { openTab: (seed: unknown) => { opened.push(seed as Record<string, unknown>) } }
+        : undefined,
     } as unknown as Context
     const store = createSidebarStore()
     const original = ctx.workspaces.openPath

tests/sidebar-crash.spec.tsx

@@ -68,6 +68,7 @@ function mountSidebar(): MountedSidebar {
     locale: { subscribe: () => () => {}, getSnapshot: () => localeSnapshot },
     sessions: { list: { subscribe: () => () => {}, getSnapshot: () => sessionsSnapshot } },
     betterSidebar: service,
+    get: (name: string) => name === 'betterSidebar' ? service : undefined,
   }
   const root: Root = createRoot(container)
   act(() => { root.render(createElement(Sidebar, { ctx: ctx as never, store })) })

tests/turn-tail-intercept.spec.ts

@@ -75,13 +75,17 @@ const producedOwner = (paths: string[]): unknown => ({
 const emptyOwner = (): unknown => ({ nodes: [{ kind: 'assistant', seq: 1, turn: 1 }], seq: 1 })
 
 /** The minimal client-context fake the registration (and its seats) touch. */
-const clientCtx = (slots: unknown): Context => ({
-  slots,
-  sessions: {
-    list: { getSnapshot: () => ({ current: 's1', byId: { s1: { id: 's1', cwd: '/w', displayTitle: 's1' } } }) },
-  },
-  betterSidebar: { openTab: vi.fn() },
-} as unknown as Context)
+const clientCtx = (slots: unknown): Context => {
+  const betterSidebar = { openTab: vi.fn() }
+  return {
+    slots,
+    sessions: {
+      list: { getSnapshot: () => ({ current: 's1', byId: { s1: { id: 's1', cwd: '/w', displayTitle: 's1' } } }) },
+    },
+    betterSidebar,
+    get: (name: string) => name === 'betterSidebar' ? betterSidebar : undefined,
+  } as unknown as Context
+}
 
 describe('turn-tail interception registration (issue #15)', () => {
   it('registers through slots.inject and lands once the slot is already declared', () => {