feat(ai): defer standalone code-mode tools behind toolSearch

[janburzinski]

Description

Adds AI SDK toolSearch() to the standalone chat. The ~21 read-only code-mode tools (GitHub, Linear, Granola, posts, GEO, skills, web search) are now registered with deferLoading: true and discovered on demand via a new searchTools tool, instead of inlining all signatures into the code_mode tool description (~15k chars / ~3.8k tokens → ~540 chars per request, multiplied by up to 50 steps per generation).

• withStandaloneCodeMode registers searchTools (callable directly and via code_mode — discovery requires a shared caller) and enables toolDiscovery: "conversation", so discovered tools are announced in catalog messages while the provider-visible tool list stays stable for prompt caching
• System prompt teaches the discover-then-call flow; chat UI gets searchTools copy
• MCP lazy runtime (searchMcpTools/activateMcpTools) intentionally unchanged — it needs DB-persisted per-session activation, which per-generation toolSearch discovery cannot replace
• Tests cover the provider-visible tool set, catalog contents, and a search→discovery step flow; mutation-checked (removing deferLoading, the caller routing, or conversation mode turns them red)

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Checklist

• I ran a self-review before opening this PR
• I ran formatting/linting/type checks locally
• I updated docs when behavior or setup changed
• I only added comments where the logic is not obvious
• I have used conventional commits for the PR title and commit messages
• I did not use AI to write the code in this PR or have disclosed that I did

---

Summary by cubic

Deploys standalone code-mode tools behind AI SDK toolSearch, so the ~21 read-only tools are discovered on demand instead of inlined in the code_mode description. This cuts prompt size from ~15k chars to ~540 chars per request and keeps the provider-visible tool list stable for prompt caching.

• Registers a new searchTools tool; the model calls it, then gets the matching tools in the next code-mode capability update.
• Updates the system prompt and chat UI copy to teach the discover-then-call flow.
• Leaves the MCP lazy runtime unchanged; it still needs per-session activation that toolSearch can't replace.
• Adds tests for the provider-visible tool set, catalog messages, and a search→discovery step flow.

^{Written for commit fe1f04e. Summary will update on new commits.}

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[greptile-apps]

Confidence Score: 5/5

The PR appears safe to merge, with no concrete correctness, security, or repository-rule violations identified.

Summary

The PR moves standalone read-only code-mode tools behind AI SDK tool discovery to reduce repeated prompt size while preserving sandboxed execution.

• Registers searchTools as both a direct and code-mode discovery caller.
• Marks standalone code-mode tools for deferred loading and announces discoveries through conversation capability updates.
• Updates model instructions and chat UI copy for the discovery workflow.
• Adds tests covering the initial provider-visible tool set and search-to-discovery sequence.

Diagram

sequenceDiagram
    participant M as Model
    participant S as searchTools
    participant C as Capability Catalog
    participant CM as code_mode
    participant T as Deferred Read-only Tool

    M->>S: Search by capability keywords
    S->>C: Discover matching deferred tools
    C-->>M: Next-step capability update
    M->>CM: Run program using tools.name(input)
    CM->>T: Execute discovered tool
    T-->>CM: Return read-only data
    CM-->>M: Return selected result fields

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