Error upgrading from v13.2.4 to v13.4.x

Following official Nx upgrade guide I get the following error running npm install:

$ npm install
---
npm ERR! code ERESOLVE
npm ERR! ERESOLVE could not resolve
npm ERR! 
npm ERR! While resolving: ismedia@0.0.0
npm ERR! Found: @nrwl/eslint-plugin-nx@13.2.4
npm ERR! node_modules/@nrwl/eslint-plugin-nx
npm ERR!   dev @nrwl/eslint-plugin-nx@"13.4.1" from the root project
npm ERR! 
npm ERR! Could not resolve dependency:
npm ERR! dev @nrwl/eslint-plugin-nx@"13.4.1" from the root project
npm ERR! 
npm ERR! Conflicting peer dependency: @typescript-eslint/parser@5.3.1
npm ERR! node_modules/@typescript-eslint/parser
npm ERR!   peer @typescript-eslint/parser@"~5.3.0" from @nrwl/eslint-plugin-nx@13.4.1
npm ERR!   node_modules/@nrwl/eslint-plugin-nx
npm ERR!     dev @nrwl/eslint-plugin-nx@"13.4.1" from the root project
npm ERR! 
npm ERR! Fix the upstream dependency conflict, or retry
npm ERR! this command with --force, or --legacy-peer-deps
npm ERR! to accept an incorrect (and potentially broken) dependency resolution.
npm ERR! 
npm ERR! See /Users/dmoore/.npm/eresolve-report.txt for a full report.

Expected Behavior

Smooth upgrade to the latest minor version

Steps to Reproduce

# Starting with v13.2.4
$ npx nx migrate latest
$ npm install

Failure Logs

eresolve-report.txt

Environment

npx nx report

>  NX  Report complete - copy this into the issue template

  Node : 14.17.5
  OS   : darwin x64
  npm  : 7.20.6
  
  nx : 13.2.4
  @nrwl/angular : undefined
  @nrwl/cli : 13.2.4
  @nrwl/cypress : 13.2.4
  @nrwl/devkit : 13.2.4
  @nrwl/eslint-plugin-nx : 13.2.4
  @nrwl/express : undefined
  @nrwl/jest : 13.2.4
  @nrwl/linter : 13.2.4
  @nrwl/nest : 13.2.4
  @nrwl/next : undefined
  @nrwl/node : 13.2.4
  @nrwl/nx-cloud : undefined
  @nrwl/react : undefined
  @nrwl/react-native : undefined
  @nrwl/schematics : undefined
  @nrwl/tao : 13.2.4
  @nrwl/web : 13.2.4
  @nrwl/workspace : 13.2.4
  @nrwl/storybook : undefined
  @nrwl/gatsby : undefined
  typescript : 4.3.5
  rxjs : 7.1.0
  ---------------------------------------
  Community plugins:
  	 nx-flow: 0.2.6
  	 nx-vue3-vite: 0.13.0

[punixxher]

Downgrade eslint to version “7.32.0” and others eslint dependencies

[demisx]

I actually got this resolved by bumping ESLint dependencies in Nx own package.json and some (vue related) to the latest released:

         "@types/supertest": "^2.0.11",
         "@types/uuid": "^8.3.1",
         "@types/video.js": "^7.3.28",
-        "@typescript-eslint/eslint-plugin": "^4.31.2",
-        "@typescript-eslint/parser": "^4.31.2",
+        "@typescript-eslint/eslint-plugin": "~5.3.0",
+        "@typescript-eslint/parser": "~5.3.0",
         "@videojs/themes": "^1.0.1",
         "@vitejs/plugin-vue": "^1.10.2",
         "@vue/compiler-sfc": "^3.2.24",
-        "@vue/eslint-config-typescript": "^7.0.0",
+        "@vue/eslint-config-typescript": "^10.0.0",
         "@vueform/multiselect": "^2.3.1",
         "babel-jest": "27.2.3",
         "buffer": "^6.0.3",
@@ -121,11 +121,11 @@
         "chalk": "^4.1.2",
         "cypress": "8.7.0",
         "dotenv": "^10.0.0",
-        "eslint": "^7.32.0",
+        "eslint": "8.2.0",
         "eslint-config-prettier": "^8.1.0",
-        "eslint-plugin-cypress": "^2.12.1",
-        "eslint-plugin-import": "^2.24.0",
-        "eslint-plugin-vue": "^7.20.0",
+        "eslint-plugin-cypress": "^2.10.3",
+        "eslint-plugin-import": "2.25.2",
+        "eslint-plugin-vue": "^8.3.0",
         "husky": "^7.0.1",
         "jest": "27.2.3",
         "jest-environment-node": "27.2.3",