fix: keep active request after prompt-guided tool results

[senamakel]

Summary

• Anchor the latest real user request after a prompt-guided tool result in the outgoing model request.
• Apply this to OpenAI-compatible prompt-guided dispatch and expose the helper to the TinyAgents dialect.
• Add tests for a greeting followed by an email tool search result and for result-only histories.

Why

In an OpenHuman transcript, a DeepSeek V4 Flash continuation received the full email request and Gmail tool-search result but answered the earlier greeting twice. The synthetic tool-result user message was the final user-role message. Repeating the latest real request after it keeps the active task at the end of the provider request without changing the stored transcript.

Verification

• cargo test --manifest-path Cargo.toml -p tinyinference-llm prompt_tools::test --lib (17 passed)
• cargo fmt --manifest-path Cargo.toml --all --check

Summary by CodeRabbit

• Bug Fixes
  • Improved continuity after tool results: prompt-guided tool interactions now include the latest resolvable user request, rather than relying only on the tool output.
  • Earlier conversational text is excluded from the carried-forward request, and conversations without a usable request remain unchanged.

[tinysweeper]

Tiny Sweeper review

⚠️ Review failed for e39f8ab4b2d0. the review of #29 did not finish within 900s

[coderabbitai]

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Run ID: 3dabdbd2-99f1-46b1-a1c0-d50f57fab638

📥 Commits

Reviewing files that changed from the base of the PR and between 9c5b411 and e39f8ab.

📒 Files selected for processing (3)

• crates/tinyinference-llm/src/prompt_tools/mod.rs
• crates/tinyinference-llm/src/prompt_tools/test.rs
• crates/tinyinference-llm/src/providers/openai/transport.rs

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