Migrate to dstmodders/github-action

[victorpopkov]

Verify

• I understand that if I ignore these instructions, my issue may be closed without review.
• I have made sure that there are no similar opened issues.
• I have made sure that the mod version matches the latest release.

Is your feature request related to a problem? Please describe.

Following dstmodders/mod-dev-tools#17 path.

As dstmodders/github-action has already matured enough, it's time to start migrating to it and disable Codecov PR checks as well.

Describe the solution you'd like

Migrate to dstmodders/github-action.

Describe alternatives you've considered

If applicable, add a clear and concise description of any alternative solutions or features you've considered.

Additional context

Progress

1. Replace CI lint job
   1. Luacheck
   2. Prettier
   3. StyLua
   4. Slack notification
2. Replace CI test job
   1. Busted
   2. Slack notification
3. Replace Deploy docs job
   1. LDoc
   2. Slack notification
4. Add corresponding dotfiles:
   1. .luacheckignore
   2. .stylua.toml
   3. .styluaignore
5. Change Codecov Global YAML to disable patch and project coverage
6. Remove obsolete Makefile targets
7. QA