Replace session with user in various files

This change mainly involves replacing 'session' with 'user' in various files in several applications. The function calls related to 'session' have been refactored to reflect 'user'. The '@supabase/supabase-js' package dependency has

apps/web/package.json

@@ -7,7 +7,7 @@
     "analyze": "ANALYZE=true pnpm run build",
     "build": "pnpm with-env next build",
     "clean": "git clean -xdf .next .turbo node_modules",
-    "dev": "pnpm with-env next dev --turbo",
+    "dev": "pnpm with-env next dev",
     "lint": "next lint",
     "format": "prettier --check \"**/*.{js,cjs,mjs,ts,tsx,md,json}\"",
     "start": "pnpm with-env next start",