chore: fix ci.yml canary releases to use nx, not lerna

[JoshuaKGoldberg]

PR Checklist

• Addresses an existing open issue: fixes Repo: CI failing to publish v8 canaries #8960
• That issue was marked as accepting prs
• Steps in Contributing were taken

Overview

I'm ... not sure which command we should use here 😬 is it ... nx release? ✅

Partially overlaps #8913.

💖

[typescript-eslint]

Thanks for the PR, @JoshuaKGoldberg!

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[nx-cloud]

☁️ Nx Cloud Report

CI is running/has finished running commands for commit 5157243. As they complete they will appear below. Click to see the status, the terminal output, and the build insights.

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✅ Successfully ran 31 targets

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

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 88.05%. Comparing base (9e0d9f5) to head (6a5d9aa).
Report is 10 commits behind head on main.

❗ Current head 6a5d9aa differs from pull request most recent head 5157243. Consider uploading reports for the commit 5157243 to get more accurate results

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #8962      +/-   ##
==========================================
+ Coverage   87.40%   88.05%   +0.64%     
==========================================
  Files         257      407     +150     
  Lines       12525    14103    +1578     
  Branches     3928     4126     +198     
==========================================
+ Hits        10948    12418    +1470     
- Misses       1303     1381      +78     
- Partials      274      304      +30     

Flag	Coverage Δ
unittest	88.05% <ø> (+0.64%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

see 150 files with indirect coverage changes