Installing problem on cpanel/nodevenv

[beshoo]

Dear all,
Am on Cpanel/shared host space,
I logged into the SSH , then
source /home/beshoo/nodevenv/public_html/nuxt/16/bin/activate && cd /home/beshoo/public_html/nuxt

My package.json as follows

{
  "name": "aflamvip",
  "version": "1.0.0",
  "private": true,
  "scripts": {
    "dev": "node --max-old-space-size=3000 node_modules/nuxt/bin/nuxt.js dev",
    "build": "nuxt build",
    "start": "nuxt-start -h aflam.vip -port 49000",
    "generate": "nuxt generate",
    "lint:prettier": "prettier --check .",
    "lint": "npm run lint:prettier",
    "lintfix": "prettier --write --list-different ."
  },
  "dependencies": {
    "@nuxtjs/axios": "^5.13.6",
    "@nuxtjs/pwa": "^3.3.5",
    "@vitalets/google-translate-api": "^8.0.0",
    "core-js": "^3.19.3",
    "firebase": "^9.6.10",
    "hls.js": "^1.1.5",
    "hooper": "^0.3.4",
    "nuxt": "^2.13.3",
    "nuxt-start": "^2.15.8",
    "vue": "^2.6.14",
    "vue-carousel": "^0.18.0",
    "vue-plyr": "^6.0.4",
    "vue-server-renderer": "^2.6.14",
    "vue-slick-carousel": "^1.0.6",
    "vue-template-compiler": "^2.6.14",
    "vuetify": "^2.6.1",
    "webpack": "^5.72.0",
    "webtorrent": "^1.8.4"
  },
  "devDependencies": {
    "@nuxtjs/vuetify": "^1.12.3",
    "eslint-config-prettier": "^8.3.0",
    "prettier": "^2.5.1"
  }
}

The problem is when I want to run the build

> [email protected] build
> nuxt build


 WARN  [email protected] is installed but ^4.46.0 is expected                                                                                                               04:00:25

undefined                                                                                                                                                                04:00:25

 WARN  transition property is deprecated in favor of pageTransition and will be removed in Nuxt 3                                                                        04:00:25


 WARN  Module @nuxtjs/vuetify not found. Please ensure @nuxtjs/vuetify is in devDependencies and installed. HINT: During build step, for npm/yarn, NODE_ENV=production or --production should NOT be used.


 FATAL  Cannot find module '@nuxtjs/vuetify'              

I tried to install @nuxtjs/vuetify it says the following

[public_html/nuxt (16)] [beshoo@server3 nuxt]$ npm i @nuxtjs/vuetify

up to date, audited 1569 packages in 7s

152 packages are looking for funding
  run `npm fund` for details

15 vulnerabilities (7 moderate, 8 high)

To address all issues, run:
  npm audit fix

Run `npm audit` for details.

But I go to the @nuxtjs

 ls /home/beshoo/nodevenv/public_html/nuxt/16/lib/node_modules/@nuxtjs/
axios  proxy  pwa  youch

Nothing installed to the directory!

I deleted the node_modules, and then node install , but the same problem appear.
What should I do!
Thank you in advance.