build: remove eslintignore file

This is deprected in favor of the `ignorePatterns` option in the config.

See: https://eslint.org/docs/latest/use/configure/migration-guide#ignoring-files and https://github.com/angular/angular-cli/actions/runs/8578915495/job/23513340084?pr=27423

Author: alan-agius4

.eslintignore

@@ -11,6 +11,22 @@
     "plugin:@typescript-eslint/recommended-requiring-type-checking",
     "prettier"
   ],
+  "ignorePatterns": [
+    "bazel-out",
+    "dist-schema",
+    "goldens/public-api",
+    "packages/angular_devkit/build_angular/src/babel-bazel.d.ts",
+    "packages/angular_devkit/build_angular/test",
+    "packages/angular_devkit/build_webpack/test",
+    "packages/angular_devkit/schematics_cli/blank/project-files",
+    "packages/angular_devkit/schematics_cli/blank/schematic-files",
+    "packages/angular_devkit/schematics_cli/schematic/files",
+    "**/tests",
+    ".yarn",
+    "dist",
+    "**/node_modules",
+    "**/third_party"
+  ],
   "parser": "@typescript-eslint/parser",
   "parserOptions": {
     "project": "tsconfig.json",