How to run the proxy included in the package.json for axios calls

I have a VUE application configured with a net.core application as backend

To avoid cors problems, it would be ideal to configure a proxy. However my attempts were in vain, since I did not find a way to do it.

The application is created with the CLI 3 of vue, and uses typescript.

Try adding the following lines to the package.json file, but the proxy still does not work, that is, all calls are still made to the outgoing server:

"proxyTable": {
    "/api":{
      "target": "http://localhost:5000",
      "changeOrigin": true,
      "pathRewrite": {
        "^/api": ""
      }
    }
  },

"proxy": {
    "/api":"http://localhost:5000"
      }

None of these things moved the call to that port.

The calls are axios, such as:

Axios.post(process.env.VUE_APP_BASE_URI + 'me', { }, {withCredentials: true})

where the constant is defined as:

VUE_APP_BASE_URI=api/

The constant looks and works. Without the constant, the error occurs the same.

Is there a problem in how I have written the proxy or am I making some other error?

my package.json:

{
  "name": "xxxxxx",
  "version": "0.1.0",
  "private": true,
  "scripts": {
    "serve": "vue-cli-service serve",
    "build": "vue-cli-service build",
    "lint": "vue-cli-service lint"
  },
  "proxyTable": {
    "/api":{
      "target": "http://localhost:5000",
      "changeOrigin": true,
      "pathRewrite": {
        "^/api": ""
      }
    }
  },
  "dependencies": {
    "axios": "^0.18.0",
    "bootstrap-vue": "^2.0.0-rc.11",
    "font-awesome": "^4.7.0",
    "register-service-worker": "^1.0.0",
    "vue": "^2.5.17",
    "vue-class-component": "^6.0.0",
    "vue-property-decorator": "^7.0.0",
    "vue-router": "^3.0.1",
    "vuex": "^3.0.1"
  },
  "devDependencies": {
    "@vue/cli-plugin-babel": "^3.0.0",
    "@vue/cli-plugin-pwa": "^3.0.0",
    "@vue/cli-plugin-typescript": "^3.0.0",
    "@vue/cli-service": "^3.0.0",
    "typescript": "^3.0.0",
    "vue-template-compiler": "^2.5.17"
  },
  "postcss": {
    "plugins": {
      "autoprefixer": {}
    }
  },
  "browserslist": [
    "> 1%",
    "last 2 versions",
    "not ie <= 8"
  ]
}

One of the attempts was the one recommended by this page . and the same thing