Expose actual inbound-processing completion for reusable transport admission

[servrox]

Transport adapters cannot safely return reusable admission credits from responses or cancellation alone: handlers, response writes and SDK cleanup may still be running. This adds local MessageExtraInfo.onMessageProcessed metadata, preserved through the official stdio entry, and a public stdio capability marker. Completion joins ordinary handlers/writes/controller cleanup, asynchronous inbound-response validation, opening/error paths, and subscription ACK/teardown/started notification deliveries.

Draft proposal for #3020; maintainer acceptance is still pending. The metadata is never serialized and does not attest remote effects or application work outside returned promises. No alternate MCP transport or protocol implementation is introduced.

Validation:

• Core: 1,533 tests passed. Server: 585 passed; the explicit duration test is skipped in the normal suite.
• Client: 995 passed; three unchanged stdio fixture cases fail because NixOS has no /usr/bin/tee. No system workaround was installed.
• A separate 601.56-second run processed successful asynchronous tools in both protocol generations through the official StdioServerTransport framing and Node Writable callbacks, reusing eight IDs only after completion. Controlled in-memory streams do not attest OS pipes or remote delivery. The callback-only correction preserves this ordinary write boundary; four focused actual-source regressions separately cover close, early error, destroyed output and end without drain.
• Affected core/server/client typechecks and changed-source lint/format passed. Independent read-only lifecycle review findings were corrected and rechecked with no remaining findings in that scope.

Official stdio send now waits for the actual chunk callback even when write() accepts the chunk immediately. Failure and close cannot return an unfinished write credit. Independent review reproduced and closed both missing-event hangs.

The new changeset and documentation describe the local completion boundary. This is a source proposal, not released SDK support or downstream production qualification.

[changeset-bot]

🦋 Changeset detected

Latest commit: fdd1ffb

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 6 packages

Name	Type
@modelcontextprotocol/server	Minor
@modelcontextprotocol/client	Minor
@modelcontextprotocol/codemod	Minor
@modelcontextprotocol/core	Minor
@modelcontextprotocol/server-legacy	Minor
@modelcontextprotocol/core-internal	Patch

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