fix(web): align session search contracts

packages/client/runtime/src/client/index.ts

@@ -113,7 +113,11 @@ export const inject = ['connection']
 export function apply(ctx: Context): void {
   ctx.plugin(SlotsService)
   const connection = ctx.get('connection') as ConnectionHandle
-  const sessions = new SessionsService(ctx, connection.api)
+  const sessions = new SessionsService(
+    ctx,
+    connection.api,
+    connection.sessionSearchResultLimit,
+  )
   const workspaces = new WorkspacesService(ctx, connection.api, sessions)
   ctx.effect(
     () => workspaces.startInitialSelection(),

packages/client/runtime/src/client/sessions/service.ts

@@ -149,6 +149,8 @@ export interface SessionProvideDescriptor {
 
 /** Root sessions service: list store, current selection, object-layer manager, scope tree, bindings, ancestry. */
 export class SessionsService {
+  /** Fixed sidebar result bound supplied to presentation plugins as injected data. */
+  readonly searchResultLimit: number
   /** List snapshot store (list RPC + host stream increments; re-pulled on reconnect) — the useSessions standard feed, current included. */
   readonly list: SnapshotStore<SessionListState>
   /** The object-layer instance cluster and frame dispatch entry. */
@@ -182,8 +184,14 @@ export class SessionsService {
   /**
    * @param ctx - client root context (scope fibers mount under it).
    * @param api - wire client shared with every Session.
+   * @param searchResultLimit - protocol-owned search bound from the connection service.
    */
-  constructor(private readonly rootCtx: Context, api: IApiClient) {
+  constructor(
+    private readonly rootCtx: Context,
+    api: IApiClient,
+    searchResultLimit: number,
+  ) {
+    this.searchResultLimit = searchResultLimit
     this.selection = createSnapshotStore<{ sessionId?: SessionId }>(
       {},
       { persist: { name: 'dsh.sessions.current' } })