Migrate from ESLint to Oxlint and Oxfmt

oxlint.config.ts

@@ -0,0 +1,24 @@
+// @ts-expect-error This lib does not expose type definitions
+import shlink from '@shlinkio/eslint-config-js-coding-standard/oxc/oxlint';
+import { defineConfig } from 'oxlint';
+
+export default defineConfig({
+  extends: [shlink],
+  rules: {
+    'typescript/no-floating-promises': 'off', // FIXME Enable this
+  },
+  overrides: [
+    {
+      files: ['./*.config.ts'],
+      rules: {
+        'eslint/no-restricted-exports': 'off',
+      },
+    },
+    {
+      files: ['**/*.test.*'],
+      rules: {
+        'typescript/unbound-method': 'off',
+      },
+    },
+  ],
+});