Feature request: Store project memory files in project-local .claude folder

Current Behavior

Project-specific memory files are stored in a global path:

~/.claude/projects/<encoded-project-path>/memory/MEMORY.md

Desired Behavior

Store memory files inside the project's own .claude/memory/ folder, e.g.:

<project-root>/.claude/memory/MEMORY.md

This is more intuitive — when working on multiple projects with separate sessions, users naturally expect each project's memory to live within that project's directory, not in a centralized global location.

Concern: Accidental Git Commits

Memory files contain personal session history and should never be committed to version control. To address this:

• If memory files are created in a project-local .claude/ folder (whether by user request or via a future feature/option), Claude Code should automatically ensure .claude/memory/ is listed in .gitignore before any git commit.
• If .gitignore doesn't exist, create it with the entry.
• If .gitignore exists but doesn't include the path, append it.

This would make the feature safe by default while keeping the project structure clean and self-contained.

Additional Context

The project-level .claude/ folder already exists for shared settings like CLAUDE.md. Adding a memory/ subfolder there (with proper .gitignore protection) would be a natural extension of the existing structure.