Use gh workflow for tests (#41384)

Follow up for: #41304

Splits CI tests (cherry-picks and PRs only for now) into separate
workflows using `gh-workflow`. Includes a couple restructures to
- run more things in parallel
- remove our previous shell script based checking to filter tests based
on files changed, instead using the builtin `paths:` workflow filters


Splitting the docs/style/rust tests & checks into separate workflows
means we lose the complete summary showing all the tests in one view,
but it's possible to re-add in the future if we go back to checking what
files changed ourselves or always run everything.

Release Notes:

- N/A *or* Added/Fixed/Improved ...

---------

Co-authored-by: Conrad <conrad@zed.dev>

tooling/xtask/src/tasks/workflows.rs

@@ -6,8 +6,13 @@ use std::path::Path;
 mod danger;
 mod nix_build;
 mod release_nightly;
+mod run_action_checks;
 mod run_bundling;
+mod run_docs_checks;
+mod run_license_checks;
+mod run_style_checks;
 
+mod run_tests;
 mod runners;
 mod steps;
 mod vars;
@@ -23,8 +28,17 @@ pub fn run_workflows(_: GenerateWorkflowArgs) -> Result<()> {
         ("nix_build.yml", nix_build::nix_build()),
         ("run_bundling.yml", run_bundling::run_bundling()),
         ("release_nightly.yml", release_nightly::release_nightly()),
-        // ("run_tests.yml", run_tests::run_tests()),
-        // ("release.yml", release::release()),
+        ("run_tests.yml", run_tests::run_tests()),
+        ("run_docs_checks.yml", run_docs_checks::run_docs_checks()),
+        ("run_style_checks.yml", run_style_checks::run_style_checks()),
+        (
+            "run_action_checks.yml",
+            run_action_checks::run_action_checks(),
+        ),
+        (
+            "run_license_checks.yml",
+            run_license_checks::run_license_checks(),
+        ), // ("release.yml", release::release()),
     ];
     fs::create_dir_all(dir)
         .with_context(|| format!("Failed to create directory: {}", dir.display()))?;