feat(03-01): implement /projects and /project new handlers

- /projects lists all projects with name, ID, models
- /project new "Name" creates project with confirmation
- Registered handlers in __init__.py

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/moai/bot/handlers/__init__.py

@@ -7,6 +7,7 @@ project management, discussion commands, and export functionality.
 from telegram.ext import Application, CommandHandler
 
 from moai.bot.handlers.commands import help_command, start_command
+from moai.bot.handlers.projects import project_command, projects_command
 from moai.bot.handlers.status import status_command
 
 
@@ -22,3 +23,7 @@ def register_handlers(app: Application) -> None:
 
     # Status
     app.add_handler(CommandHandler("status", status_command))
+
+    # Project management
+    app.add_handler(CommandHandler("projects", projects_command))
+    app.add_handler(CommandHandler("project", project_command))

src/moai/bot/handlers/projects.py

@@ -0,0 +1,86 @@
+"""Project management handlers for MoAI bot."""
+
+import re
+
+from telegram import Update
+from telegram.ext import ContextTypes
+
+from moai.core.services.project import create_project, list_projects
+
+
+async def projects_command(update: Update, context: ContextTypes.DEFAULT_TYPE) -> None:
+    """Handle /projects command - list all projects."""
+    projects = await list_projects()
+
+    if not projects:
+        await update.message.reply_text('No projects yet. Use /project new "Name" to create one.')
+        return
+
+    lines = ["*Your Projects:*\n"]
+    for p in projects:
+        models_str = ", ".join(p.models) if p.models else "none"
+        lines.append(f"• *{p.name}*\n  ID: `{p.id[:8]}...`\n  Models: {models_str}")
+
+    await update.message.reply_text("\n".join(lines), parse_mode="Markdown")
+
+
+async def project_command(update: Update, context: ContextTypes.DEFAULT_TYPE) -> None:
+    """Handle /project subcommands.
+
+    Subcommands:
+        new "Name" - Create new project
+        select <id|name> - Switch to project (future)
+        delete <id> - Delete project (future)
+        models <list> - Set models (future)
+        info - Show current project (future)
+    """
+    args = context.args or []
+
+    if not args:
+        await update.message.reply_text(
+            "Usage:\n"
+            '/project new "Name" - Create project\n'
+            "/project select <id> - Switch project\n"
+            "/project info - Show current project"
+        )
+        return
+
+    subcommand = args[0].lower()
+
+    if subcommand == "new":
+        await _handle_project_new(update, context, args[1:])
+    else:
+        await update.message.reply_text(
+            f"Unknown subcommand: {subcommand}\nAvailable: new, select, delete, models, info"
+        )
+
+
+async def _handle_project_new(
+    update: Update, context: ContextTypes.DEFAULT_TYPE, args: list[str]
+) -> None:
+    """Handle /project new "Name" command."""
+    if not args:
+        await update.message.reply_text('Usage: /project new "Project Name"')
+        return
+
+    # Join args and extract quoted name
+    text = " ".join(args)
+    match = re.match(r'^"([^"]+)"', text) or re.match(r"^'([^']+)'", text)
+
+    if match:
+        name = match.group(1)
+    else:
+        # No quotes - use the first arg as name
+        name = args[0]
+
+    project = await create_project(name)
+    models_str = ", ".join(project.models)
+
+    await update.message.reply_text(
+        f"*Project Created*\n\n"
+        f"Name: {project.name}\n"
+        f"ID: `{project.id}`\n"
+        f"Models: {models_str}\n\n"
+        f"Use /project select {project.id[:8]} to switch to this project.",
+        parse_mode="Markdown",
+    )