[SPARK-37879][INFRA][FOLLOWUP] Change actions to check-runs in update_build_status.yml

### What changes were proposed in this pull request?
Change actions to check-runs in update_build_status.yml.

### Why are the changes needed?
apache#35179 (comment)

### Does this PR introduce _any_ user-facing change?
No

### How was this patch tested?

Closes apache#35189 from Yikun/patch-11.

Authored-by: Yikun Jiang <yikunkero@gmail.com>
Signed-off-by: Hyukjin Kwon <gurwls223@apache.org>

Author: Yikun

.github/workflows/update_build_status.yml

@@ -65,7 +65,7 @@ jobs:
                       // Get the workflow run in the forked repository
                       let run
                       try {
-                        run = await github.request('GET /repos/{owner}/{repo}/actions/runs/{run_id}', params)
+                        run = await github.request('GET /repos/{owner}/{repo}/check-runs/{run_id}', params)
                       } catch (error) {
                         console.error(error)
                         // Run not found. This can happen when the PR author removes GitHub Actions runs or
@@ -83,7 +83,7 @@ jobs:
                           output: cr.output,
                           status: run.data.status,
                           conclusion: run.data.conclusion,
-                          details_url: run.data.details_url
+                          details_url: run.data.url
                         })
                       } else {
                         console.log('    Run ' + cr.id + ': set status (' + run.data.status + ')')
@@ -93,7 +93,7 @@ jobs:
                           check_run_id: cr.id,
                           output: cr.output,
                           status: run.data.status,
-                          details_url: run.data.details_url
+                          details_url: run.data.url
                         })
                       }