chore: add config for claude code on web (#42044)

To use Claude Code on web, we need the LLM to have access to
dependencies. This creates a install_pkgs.sh script that runs `pnpm
install` only in the Claude Code remove environment.

.gitignore

@@ -117,7 +117,9 @@ next-env.d.ts
 .vercel
 
 # AI assistant local files
-.claude/
+.claude/*
+!.claude/settings.json
+!.claude/scripts/
 CLAUDE.md
 
 #include template .env file for docker-compose
@@ -149,4 +151,4 @@ gcloud.json
 # Sentry CLI config
 **/.sentryclirc
 
-keys.json
+keys.json