getting `sh: 1: exec: nest: not found` error deploying nestjs to google app engine

I am trying to deploy my nestjs application to google app engine, but I get sh: 1: exec: nest: not found error

my package.json

    "main": "dist/main.js",
    "scripts": {
        "prebuild": "rimraf dist",
        "build": "nest build",
        "format": "prettier --write \"src/**/*.ts\" \"test/**/*.ts\"",
        "start": "nest start",
        "start:dev": "nest start --watch",
        "start:debug": "nest start --debug --watch",
        "start:prod": "node dist/main",
        "lint": "eslint \"{src,apps,libs,test}/**/*.ts\" --fix",
        "test": "jest",
        "test:watch": "jest --watch",
        "test:cov": "jest --coverage",
        "test:debug": "node --inspect-brk -r tsconfig-paths/register -r ts-node/register node_modules/.bin/jest --runInBand",
        "test:e2e": "jest --config ./test/jest-e2e.json",
        "gcp-build": "npm run build",
        "ae:deploy": "gcloud app deploy --quiet",
        "ae:browse": "gcloud app browse",
        "@nestjs/cli": "^8.0.0",
    }
       

DockerFile

FROM node:14-alpine

WORKDIR /usr/src/app
ENV NODE_ENV=production

COPY package*.json ./

RUN npm install -g @nestjs/cli@8

RUN npm install

COPY . ./

RUN npm run build

CMD [ "npm", "run", "start:prod" ]

app.yaml

runtime: nodejs14
service: default

instance_class: F1

env_variables:
  NODE_ENV: 'production'

CloudBuild.yaml

steps:
- name: "gcr.io/cloud-builders/docker"
  args:
  - build
  - "--tag=gcr.io/cmor-baas-dev/kafka-connector:latest"
  - "--file=Dockerfile"
  - .  
images:
- "gcr.io/cmor-baas-dev/kafka-connector"
timeout: 1800s

I think both Dockerfile and CloudBuild.yaml files are ignored (I am new to Google app engine, not sure do we need those files)

Update

Based on here,

All dependencies that you define under the devDependencies field are ignored and do not get installed for your app in App Engine.

So I moved @nestjs/cli to dependencies in my package.json, still same error

In case someone else came to this post looking for answer:

Two changes are needed:

1- update start script to "start": "node dist/main.js"

2- move @nestjs/cli from devDependency to dependency

Then it starts working

p.s Neither CloudBuild.yaml or Dockerfile is needed