feat(db): add database backup and initialization system

- Add backup.sh script for manual PostgreSQL database backups
- Update .gitignore to exclude pg_backups directory
- Modify docker-compose.yml to include backup service and volume mounts
- Add init.sh script for automated database initialization with backup restoration

.gitignore

@@ -1,79 +1,82 @@
-# Dependencies
-node_modules/
-.pnp/
-.pnp.js
+    # Dependencies
+    node_modules/
+    .pnp/
+    .pnp.js
 
-# Build outputs
-dist/
-build/
-out/
-.next/
-.nuxt/
-.cache/
+    # Build outputs
+    dist/
+    build/
+    out/
+    .next/
+    .nuxt/
+    .cache/
 
-# Environment variables
-.env
-.env.local
-.env.development.local
-.env.test.local
-.env.production.local
-.env.development
-.env.production
-.env.*
-!.env.example
-!.env.template
+    # Environment variables
+    .env
+    .env.local
+    .env.development.local
+    .env.test.local
+    .env.production.local
+    .env.development
+    .env.production
+    .env.*
+    !.env.example
+    !.env.template
 
-# Logs
-logs
-*.log
-npm-debug.log*
-yarn-debug.log*
-yarn-error.log*
-pnpm-debug.log*
-lerna-debug.log*
+    # Logs
+    logs
+    *.log
+    npm-debug.log*
+    yarn-debug.log*
+    yarn-error.log*
+    pnpm-debug.log*
+    lerna-debug.log*
 
-# Editor directories and files
-.vscode/*
-!.vscode/extensions.json
-.idea/
-.DS_Store
-*.suo
-*.ntvs*
-*.njsproj
-*.sln
-*.sw?
-*.sublime-workspace
+    #backups
+    pg_backups/
 
-# Testing
-coverage/
-.nyc_output/
+    # Editor directories and files
+    .vscode/*
+    !.vscode/extensions.json
+    .idea/
+    .DS_Store
+    *.suo
+    *.ntvs*
+    *.njsproj
+    *.sln
+    *.sw?
+    *.sublime-workspace
 
-# Temp files
-.temp/
-.tmp/
-temp/
-tmp/
+    # Testing
+    coverage/
+    .nyc_output/
 
-# Debug
-.debug/
+    # Temp files
+    .temp/
+    .tmp/
+    temp/
+    tmp/
 
-# Misc
-.DS_Store
-Thumbs.db
-.thumbs.db
-ehthumbs.db
-Desktop.ini
-$RECYCLE.BIN/
+    # Debug
+    .debug/
 
-# Yarn
-.yarn/*
-!.yarn/patches
-!.yarn/plugins
-!.yarn/releases
-!.yarn/sdks
-!.yarn/versions
+    # Misc
+    .DS_Store
+    Thumbs.db
+    .thumbs.db
+    ehthumbs.db
+    Desktop.ini
+    $RECYCLE.BIN/
 
-# TypeScript
-*.tsbuildinfo
+    # Yarn
+    .yarn/*
+    !.yarn/patches
+    !.yarn/plugins
+    !.yarn/releases
+    !.yarn/sdks
+    !.yarn/versions
+
+    # TypeScript
+    *.tsbuildinfo