Add OctoAcme Product Manager process doc

[Copilot]

This PR adds a comprehensive Product Manager process guide to the OctoAcme documentation set, providing structured guidance for Product Managers working within the OctoAcme framework.

What's Added

The new docs/octoacme-product-manager-process.md document includes:

• Purpose: Clear definition of the Product Manager's role in driving customer value and managing product backlogs
• Key Responsibilities: Strategic planning, product discovery & validation, and cross-functional collaboration
• Planning & Backlog Management: Roadmap planning, prioritization frameworks, and sprint planning support
• Stakeholder Communication: Regular cadences, communication templates, and stakeholder management practices
• Metrics & Success Measurement: KPI definitions, data collection strategies, and success criteria frameworks
• Best Practices: Customer-first approach, data-informed decision making, and collaborative leadership

Alignment with OctoAcme Principles

The document is built around OctoAcme's core principles established in the project management overview:

• Customer-first: Prioritizes customer value and usability in all product decisions
• Iterative delivery: Emphasizes breaking features into deliverable increments
• Clear ownership: Defines Product Manager ownership of vision, roadmap, and prioritization
• Data-informed decisions: Provides frameworks for measurement and evidence-based prioritization
• Psychological safety: Promotes open communication and team learning

Integration with Existing Documentation

This process guide complements the existing OctoAcme documentation by:

• Building upon the Product Manager persona definition in octoacme-roles-and-personas.md
• Integrating with project lifecycle processes from initiation through retrospective
• Referencing established communication cadences and artifact templates
• Providing Product Manager-specific guidance that works within the broader project management framework

The document follows the same structural patterns and formatting conventions as other OctoAcme process guides, ensuring consistency across the documentation set.

This pull request was created as a result of the following prompt from Copilot chat.

Create a process document specifically for Product Managers at OctoAcme, using existing documentation and conventions in the docs/ folder. The new document should be named docs/octoacme-product-manager-process.md and include the following sections: Purpose, Key Responsibilities, Planning & Backlog Management, Stakeholder Communication, Metrics & Success Measurement, and Best Practices. The content should align with the style and structure of current docs, and reference OctoAcme-specific principles from the overview and roles docs. Once created, draft a Pull Request titled "Add OctoAcme Product Manager process doc" with a description explaining the addition of a structured guide for Product Managers to the OctoAcme documentation set.

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