chore(docker): add .dockerignore and update Dockerfile

Add .dockerignore to exclude node_modules, .git, coverage, .env.
Update Dockerfile to install nodejs/npm, copy package.json, run npm install, and build.
Update compose.prod.yml to set working_dir, restart no, and use array command.
Move drizzle-kit from devDependencies to dependencies.

package.json

@@ -1,12 +1,12 @@
 {
   "dependencies": {
     "dotenv": "^17.4.0",
+    "drizzle-kit": "^0.31.10",
     "drizzle-orm": "^0.45.2",
     "pg": "^8.20.0"
   },
   "devDependencies": {
     "@types/pg": "^8.20.0",
-    "drizzle-kit": "^0.31.10",
     "tsx": "^4.21.0"
   }
 }