feat(realtime): keep projects and labels current too, not only tasks

The socket carried task events and nothing else, so a project or a label
created anywhere — another tab, another device, Claude through the
connector — did not appear until a reload. Tasks updated live and the
sidebar did not, which reads as the sidebar being broken rather than as a
gap in what is published.

Projects and labels go to the *user* rather than to a project. A project
that has just been created has no subscribers, because nobody was
watching a thing that did not exist a moment ago.

Labels are announced as "something changed" and re-read, rather than sent
as a payload. The sidebar wants each label's task count, which no single
event carries and which moves whenever a task gains or loses a label —
including through quick add, where "@regnskab" invents the label inside a
task write and no label event is sent at all. Comparing the label lists
on a task change is what catches that, without re-reading on every ticked
checkbox.

And projects now go through an upsert, because the same row arrives twice
— once as the response to the request that created it, once over the
socket. Appending both puts two ids into a keyed {#each}, which throws
and stops the sidebar rendering. The tasks already had that guard; adding
the project event without it reintroduced the identical bug, and the
smoke test caught it on the first run.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

internal/httpapi/projects_handlers.go

@@ -133,6 +133,7 @@ func (s *Server) handleCreateProject(w http.ResponseWriter, r *http.Request) {
 		return
 	}
 	s.activity(r, p.ID, "", "project.created", map[string]any{"name": p.Name})
+	s.publishToOwner(r, "project.created", toProjectJSON(*p))
 	writeJSON(w, http.StatusCreated, toProjectJSON(*p))
 }
 
@@ -168,6 +169,7 @@ func (s *Server) handleUpdateProject(w http.ResponseWriter, r *http.Request) {
 		s.storeError(w, "get project", err)
 		return
 	}
+	s.publishToOwner(r, "project.updated", toProjectJSON(*p))
 	writeJSON(w, http.StatusOK, toProjectJSON(*p))
 }
 
@@ -182,6 +184,7 @@ func (s *Server) handleDeleteProject(w http.ResponseWriter, r *http.Request) {
 		return
 	}
 	s.activity(r, projectID, "", "project.deleted", nil)
+	s.publishToOwner(r, "project.deleted", map[string]string{"id": projectID})
 	w.WriteHeader(http.StatusNoContent)
 }