projio: Update MCP tools and CLAUDE.md for new bib architecture

Goal

(promoted from note)

Context

(see source note)

Prompt

Fix the issue described below (source: docs/log/issue/issue-arash-20260402-220237-298776.md). Understand the problem, then implement the proposed fix.

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projio: Update MCP tools and CLAUDE.md for new bib architecture

MCP tool updates in src/projio/mcp/:

1. biblio.py: Register new biblio_compile tool. Update biblio_merge tool description to mention new output path.

2. pipeio.py: Update pipeio_modkey_bib default path in wrapper if hardcoded.

3. context.py: Update project_context() to report bib compilation status (compiled.bib exists, source count, staleness check).

4. manuscripto.py: Update any manuscript_build references to bibliography path — should read from render.yml which now points to .projio/render/compiled.bib.

CLAUDE.md updates:

• Architecture section: update bib/ description, add .projio/render/ and .projio/biblio/ layout
• MCP server section: add biblio_compile to biblio tools list
• Add render.yml bib_sources documentation

MCP instruction codegen:

• Update worklog MCP server instructions if they reference bib paths
• Update projio CLAUDE.md codegen if automated

Related Notes

• issue-arash-20260402-220152-539138.md — Directly defines the biblio_compile tool that this note wants to register in biblio.py MCP
• issue-arash-20260402-220130-159401.md — Describes the bib path changes (merge output, config, logs) that this note must reflect in MCP tool descriptions and render.yml references
• issue-arash-20260402-220025-468258.md — Spec for the new bib architecture (sources vs artifacts) that drives the CLAUDE.md and context.py updates here
• issue-arash-20260402-220217-451167.md — Covers render path updates (CSL, .projio/render/) that overlap with the render.yml bib_sources documentation changes in this note
• issue-arash-20260402-220100-339672.md — pipeio modkey change that this note references when updating pipeio_modkey_bib default path in pipeio.py

Acceptance Criteria

• [ ]

Result

(pending)

Batch Result

• status: done
• batch queue_id: 9ef168fb767a
• session: 5770b78c-f4c8-4794-9f73-aedd6692dafa
• batch duration: 1363.6s