## Motivation and Context
This commit implements Phase 1 of 3 for #334.
The MCP specification requires an `initialize` request followed by
a `notifications/initialized` notification before any other interaction.
PR #327 added `MCP::Client#connect` and `MCP::Client::HTTP#connect`
to expose this handshake explicitly for the HTTP transport,
but stdio remained on its private `initialize_session` lazy-init path,
inconsistent with the Python SDK (`ClientSession.initialize()`) and
TypeScript SDK (`Client.connect(transport)`),
both of which require an explicit handshake call regardless of transport.
The implicit init path on the first `send_request` is
preserved as a non-breaking compatibility shim. Public API added on `Stdio`:
- `connect(client_info:, protocol_version:, capabilities:)` performs the
handshake, validates the negotiated `protocolVersion` against
`MCP::Configuration::SUPPORTED_STABLE_PROTOCOL_VERSIONS`,
caches the `InitializeResult`, and is idempotent.
- `connected?` reports handshake completion.
- `server_info` exposes the cached `InitializeResult`.
Documentation and examples are updated so new users learn the explicit pattern
from the start.
## How Has This Been Tested?
Fifteen regression tests cover: explicit handshake, `server_info` caching,
idempotence, custom keyword arguments, JSON-RPC error response, missing
or non-Hash `result`, unsupported protocol version with state rollback,
state rollback when the `notifications/initialized` write fails,
retry after a failed handshake, and the `connected?` / `server_info` lifecycle.
The pre-existing stdio tests pass without modification, verifying that
the implicit-init compatibility path still works.
## Breaking Changes
None for the typical "implicit init via `client.tools` / `client.call_tool`" usage.
Existing stdio clients keep working unchanged.
Three observable behavior changes for code that inspects transport state directly:
- `Client#connected?` for a never-initialized stdio client returns `false`
(previously fell through to a `true` default via the `respond_to?` fallback).
- `Client#server_info` for stdio returns the cached `InitializeResult`
after the handshake (previously always `nil` via the fallback).
- The implicit handshake path now validates the server's negotiated
protocol version, raising `RequestHandlerError` for unsupported versions.
Production servers that return one of the supported versions are unaffected;
this closes a pre-existing spec-conformance gap on stdio.
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