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>

clients/web/tsconfig.test.json

@@ -14,7 +14,9 @@
       "zustand": ["./node_modules/zustand"],
       "zustand/*": ["./node_modules/zustand/*"],
       "hono": ["./node_modules/hono"],
-      "hono/*": ["./node_modules/hono/*"],
+      "hono/streaming": [
+        "./node_modules/hono/dist/types/helper/streaming/index"
+      ],
       "@hono/node-server": ["./node_modules/@hono/node-server"],
       "atomically": ["./node_modules/atomically"],
       "express": ["./node_modules/@types/express"],