fix(typescript-estree): remove ts.sys watch program override

[JoshuaKGoldberg]

PR Checklist

• Addresses an existing open issue: fixes Bug: "File './tsconfig-base' not found" or "Cannot read file 'src/src/src/src/tsconfig-base.json'" in alpha (after ProjectService PR?) #7246
• That issue was marked as accepting prs
• Steps in Contributing were taken

Overview

Fixes the relativity issue more surgically than a full revert (#7251).

Co-authored-by: @bradzacher

[typescript-eslint]

Thanks for the PR, @JoshuaKGoldberg!

typescript-eslint is a 100% community driven project, and we are incredibly grateful that you are contributing to that community.

The core maintainers work on this in their personal time, so please understand that it may not be possible for them to review your work immediately.

Thanks again!

---

🙏 Please, if you or your company is finding typescript-eslint valuable, help us sustain the project by sponsoring it transparently on https://opencollective.com/typescript-eslint.

[netlify]

✅ Deploy Preview for typescript-eslint ready!

Name	Link
🔨 Latest commit	114d257
🔍 Latest deploy log	https://app.netlify.com/sites/typescript-eslint/deploys/64b548f3e37c2b0008fd5259
😎 Deploy Preview	https://deploy-preview-7252--typescript-eslint.netlify.app
📱 Preview on mobile	Toggle QR Code... Use your smartphone camera to open QR code link.

---

To edit notification comments on pull requests, go to your Netlify site configuration.

[JoshuaKGoldberg]

Confirmed that the Astro and trpc repos aren't impacted by the original bug. I'd previously tested my template-typescript-node-package repo. Shipping!

[nx-cloud]

☁️ Nx Cloud Report

CI is running/has finished running commands for commit 114d257. As they complete they will appear below. Click to see the status, the terminal output, and the build insights.

📂 See all runs for this branch

---

✅ Successfully ran 35 targets

• Node 20 - nx test typescript-estree
• nx test typescript-estree --coverage=false
• nx run types:build
• Node 20 - nx test visitor-keys
• nx test eslint-plugin-tslint --coverage=false
• Node 20 - nx test rule-schema-to-typescript-types
• Node 20 - nx run types:build
• nx test eslint-plugin --coverage=false
• nx run-many --target=typecheck --parallel
• nx test eslint-plugin-internal --coverage=false
• Node 20 - nx test type-utils
• nx run integration-tests:test
• Node 20 - nx test utils
• Node 20 - nx test scope-manager
• Node 16 - nx test typescript-estree --coverage=false
• nx run-many --target=lint --parallel
• Node 16 - nx test utils --coverage=false
• Node 20 - nx test repo-tools
• Node 16 - nx run types:build
• Node 20 - nx test parser
• Node 20 - nx test ast-spec
• Node 20 - nx test eslint-plugin-tslint
• Node 20 - nx test eslint-plugin
• Node 16 - nx test scope-manager --coverage=false
• Node 16 - nx test repo-tools --coverage=false
• Node 16 - nx test eslint-plugin-tslint --coverage=false
• Node 16 - nx test eslint-plugin-internal --coverage=false
• Node 20 - nx test eslint-plugin-internal
• Node 16 - nx test type-utils --coverage=false
• Node 16 - nx test eslint-plugin --coverage=false
• Node 16 - nx test parser --coverage=false
• Node 16 - nx test ast-spec --coverage=false
• Node 16 - nx test rule-schema-to-typescript-types --coverage=false
• Node 16 - nx test visitor-keys --coverage=false
• nx run-many --target=build --parallel --exclude=website --exclude=website-eslint

---

Sent with 💌 from NxCloud.