Port Lingbot to new API

[aidanfnv]

Lacks WIP webrtc changes

[copy-pr-bot]

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[greptile-apps]

Greptile Summary

Ports Lingbot replay and WebRTC serving to the shared inference-runtime demo API.

• Adds Lingbot runtime, input mapping, scenario, CLI, replay, and WebRTC adapters.
• Updates the serving output target to launch the shared Lingbot demo CLI.
• Adds coverage for demo APIs, mappings, keyboard parity, runtime inputs, GPU behavior, and smoke paths.

Confidence Score: 5/5

The PR appears safe to merge.

No blocking failure remains.

Important Files Changed

Filename	Overview
integrations/lingbot/lingbot/runtime.py	Introduces the shared Lingbot runtime and replay conversion helpers; the previously reported unreachable conversion return is removed correctly.
integrations/lingbot/lingbot/input_mapping.py	Adds canonical keyboard/text-event conversion and camera trajectory mapping for replay and live control.
integrations/lingbot/lingbot/demo/adapter.py	Connects Lingbot scenarios, mappings, runtimes, and output modes to the shared demo API.
integrations/lingbot/lingbot/demo/cli.py	Adds replay and WebRTC commands that construct shared DemoSpec configurations.
flashdreams/flashdreams/serving/output_targets.py	Redirects Lingbot WebRTC launches to the new shared demo CLI and argument contract.

Flowchart

%%{init: {'theme': 'neutral'}}%%
flowchart LR
  CLI[Lingbot demo CLI] --> Spec[DemoSpec]
  Spec --> Adapter[LingbotDemoAdapter]
  Adapter --> Mapping[LingbotInputMapping]
  Adapter --> Runtime[Lingbot runtime]
  Mapping --> Runtime
  Runtime --> MP4[MP4 output]
  Runtime --> WebRTC[WebRTC session]

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