feat(example): Updated server example (batch processing, `/v1/responses` api, response parsing) (#2174)

* Add batch processing server

* Improve response parser streaming performance

* Add /v1/models endpoint

* Support custom tools in responses API

* Improve responses api compatibility for codex

* Improve batch server prompt and context config

* Improve batch server scheduling and prompt handling

* fix apply_patch tool

* Improve batch server schemas and metrics

* Refactor sequence cache helpers

* Fix server type diagnostics

* feat: add llama.cpp extension bindings

* feat: add MTP support to batch server

* feat: improve draft-mtp handling in batch server

* feat: cap MTP draft context outputs

* fix: preserve held streaming tokens

* feat: add load-time LoRA support to batch server

* feat: add multimodal support to batch server

* refactor: rename batch item kinds

* refactor: type sampled mtp updates

* refactor: structure sampled mtp batch processing

* refactor: clarify batch item construction

* refactor: type batch item kind

* refactor: clarify sampled pending index

* refactor: clarify output index naming

* refactor: rename logits index resolver

* refactor: colocate sampled mtp state

* refactor: inline sampled mtp helpers

* refactor: use row-expanded multimodal prompt identity

* test: remove multimodal prompt plan tests

* refactor: narrow mtmd processor dependencies

* refactor: group prompt segment media fields

* refactor: centralize sequence state copy

* refactor: keep disk cache storage only

* refactor: split batch item payloads

* refactor: centralize pending request failure cleanup

* refactor: centralize sequence claiming

* refactor: key sequence disk cache compatibility

* refactor: decouple completion request preparation

* refactor: name prepared completion parts

* refactor: return prepared completion parts

* refactor: localize media cache key building

* refactor: remove unused request id override

* refactor: simplify prompt segment row capacity

* refactor: inline prompt row clamp

* refactor: inline disconnect cancellation response

* refactor: simplify recurrent draft capacity

* refactor: define builtin grammar rule as dataclass

* refactor: type chat template conversions

* docs: mark llama_cpp_ext experimental

* feat: restrict multimodal media sources

* docs: add server example README and config

* docs: document server example configuration

* docs: update server README

* docs: document server wheel setup and clients

* docs: add server model configs

* docs: add server chat templates and response schemas

* docs: keep batch processing server example

* docs: add server example changelog entry

* docs: mention multi-token prediction in changelog