refactor(core): apply v1.5-port cleanups deferred from #1306 (#1316)

* refactor(core): apply v1.5-port cleanups deferred from #1306

Addresses issue #1309 — five small, mechanical cleanups deferred from the
v1.5 runtime port:

1. Collapse BrowserOAuthStorage / NodeOAuthStorage / RemoteOAuthStorage
   onto a shared OAuthStorageBase. Three ~130-line duplicates become
   thin adapter wrappers; behavior + public API unchanged.
2. Re-enable erasableSyntaxOnly in tsconfig.app.json by rewriting the
   seven (plus two the issue missed in sampling/elicitation create-
   message) parameter-property constructors as explicit field + assign.
3. Route the lone console.error in inspectorClient.ts through this.logger.
4. Replace `${Date.now()}-${Math.random()}` with crypto.randomUUID() at
   the five local-only ID sites (message tracking + sampling/elicit).
5. Pin the remote-server hono app generic at new Hono<Env>() and drop
   the streamSSE cast. Root cause of the cast was an unresolved hono
   subpath: the tsconfig "hono/*" wildcard didn't honor the exports
   map, so hono/streaming leaked to the root-hoisted hono@4.12.12 while
   hono itself resolved to clients/web/hono@4.12.18. Replaced the
   wildcard with an explicit hono/streaming entry in both tsconfig.app
   and tsconfig.test, removing the package-identity mismatch.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

* refactor(core): address #1316 PR review feedback

- Drop the stranded no-op getServerState() read at the top of
  clearClientInformation in OAuthStorageBase (carried over verbatim
  from the three originals).
- Drop the crypto.randomUUID() guard at the task-ID site so all
  six in-scope sites are consistent; the fallback branch was dead
  code on every supported runtime.
- Remove the residual `c as Context` cast at the streamSSE call site
  in core/mcp/remote/node/server.ts — once both hono imports
  resolve to the same package the route-typed Context flows through
  to streamSSE with no cast at all.
- Move the new `options` / `config` field declarations in
  RemoteClientTransport up with the rest of the field block, matching
  the layout used by the other five rewritten classes in this PR.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

---------

Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

core/mcp/remote/node/server.ts

@@ -17,7 +17,7 @@ import {
 } from "../../../storage/store-io.js";
 import type { LogEvent } from "pino";
 import { Hono } from "hono";
-import type { Context, Next } from "hono";
+import type { Context, Env, Next } from "hono";
 import { streamSSE } from "hono/streaming";
 import { createTransportNode } from "../../node/transport.js";
 import type { RemoteConnectRequest, RemoteSendRequest } from "../types.js";
@@ -277,7 +277,7 @@ export function createRemoteApp(
       process.env[API_SERVER_ENV_VARS.AUTH_TOKEN] ||
       randomBytes(32).toString("hex");
 
-  const app = new Hono();
+  const app = new Hono<Env>();
   const sessions = new Map<string, RemoteSession>();
   const { logger: fileLogger, allowedOrigins } = options;
   const storageDir = options.storageDir ?? getDefaultStorageDir();
@@ -453,9 +453,7 @@ export function createRemoteApp(
       return c.json({ error: "Session not found" }, 404);
     }
 
-    // hono's streamSSE generic typing has tightened since v1.5; cast the
-    // route-typed Context down to the broader Context shape it expects.
-    return streamSSE(c as unknown as Parameters<typeof streamSSE>[0], async (stream) => {
+    return streamSSE(c, async (stream) => {
       session.setEventConsumer((event) => {
         const data = JSON.stringify(event);
         void stream.writeSSE({