Make the web app installable (#1144)

* feat(app): make web app installable

* fix: restore CI for import and shortcut tests

packages/server/src/server/agent/import-sessions.test.ts

@@ -128,6 +128,7 @@ test("listImportableProviderSessions filters, sorts, limits, and projects import
       cwd,
       title: "Already stored",
       lastActivityAt: "2026-04-30T12:04:00.000Z",
+      firstPrompt: "stored prompt",
     }),
     makeDescriptor({
       sessionId: "older-session",
@@ -167,6 +168,7 @@ test("listImportableProviderSessions filters, sorts, limits, and projects import
       cwd,
       title: "Already live",
       lastActivityAt: "2026-04-30T12:01:00.000Z",
+      firstPrompt: "live prompt",
     }),
   ];
   const listImportablePersistedAgents = vi.fn(async () => descriptors);

packages/server/src/server/session.workspaces.test.ts

@@ -1917,6 +1917,7 @@ test("fetch_recent_provider_sessions_request lists importable provider sessions
       cwd: "/tmp/recent",
       title: "Already stored",
       lastActivityAt: "2026-04-30T12:04:00.000Z",
+      firstPrompt: "stored prompt",
     }),
     makePersistedProviderSession({
       provider: "claude",
@@ -1967,6 +1968,7 @@ test("fetch_recent_provider_sessions_request lists importable provider sessions
       cwd: "/tmp/recent",
       title: "Already live",
       lastActivityAt: "2026-04-30T12:01:00.000Z",
+      firstPrompt: "live prompt",
     }),
   ];
   // The real AgentManager filters by providerFilter at the fan-out level
@@ -2096,6 +2098,7 @@ test("fetch_recent_provider_sessions_request reports filteredAlreadyImportedCoun
       cwd: "/tmp/recent",
       title: "Already live",
       lastActivityAt: "2026-04-30T12:01:00.000Z",
+      firstPrompt: "live prompt",
     }),
   ];