[codex] Remove realtime initial state startup gate

[VerioN1]

Summary

• Remove the client-side realtime initial-state readiness gate and delete the gate module.
• Let startup continue after LiveKit connect and immediate local track publish.
• Surface initial prompt/image ack failures asynchronously through the existing session error event without retrying startup.
• Update realtime unit tests for bundled initial state, faster startup, async ack failures, and published-track teardown.

Why

The backend now owns drop-until-initial-state behavior, so the SDK no longer needs to block connection readiness on the initial prompt/image ack. This lets clients publish immediately and realize the time-to-first-frame improvement while still reporting ack failures.

Verification

• pnpm typecheck
• pnpm test
• pnpm build

pnpm test:e2e:realtime was not run locally because DECART_API_KEY is not set in this environment.

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Note

Medium Risk
Changes realtime connect semantics (earlier connected state and track publish; ack failures no longer fail connect or trigger retry), which affects all SDK consumers of stream sessions.

Overview
Removes the client-side InitialStateGate and stops blocking connect() on the initial prompt/image WebSocket ack. After room join, the session proceeds through LiveKit connect and immediate local track publish, then marks connected—matching backend-owned drop-until-initial-state behavior for faster time-to-first-frame.

Initial-state ack failures are handled asynchronously via watchInitialStateAck, which emits the existing error event without tearing down or retrying startup. teardownGeneration prevents stale ack rejections from surfacing as errors when a connect retry tears down a pending handshake.

Unit tests drop gate-specific coverage and assert the new startup order, async ack errors, and no spurious errors when retry teardown invalidates a pending ack.

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[pkg-pr-new]

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npm i https://pkg.pr.new/@decartai/sdk@166

commit: de3ca18

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