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/remoteClientTransport.ts

@@ -99,6 +99,8 @@ export class RemoteClientTransport implements Transport {
     null;
   private eventStreamAbort: AbortController | null = null;
   private closed = false;
+  private readonly options: RemoteTransportOptions;
+  private readonly config: import("../types.js").MCPServerConfig;
 
   /**
    * Intentionally returns undefined. The MCP Client checks transport.sessionId to detect
@@ -112,9 +114,12 @@ export class RemoteClientTransport implements Transport {
   }
 
   constructor(
-    private readonly options: RemoteTransportOptions,
-    private readonly config: import("../types.js").MCPServerConfig,
-  ) {}
+    options: RemoteTransportOptions,
+    config: import("../types.js").MCPServerConfig,
+  ) {
+    this.options = options;
+    this.config = config;
+  }
 
   private get fetchFn(): typeof fetch {
     return this.options.fetchFn ?? globalThis.fetch;