DO-NOT-MERGE - GH-55163: [CI] Replace the PR Limit workflow with the .asf.yaml pull request creation cap

.asf.yaml

@@ -45,6 +45,16 @@ github:
     review_drafts: false
     review_on_push: true
 
+  pull_requests:
+    # Limit the number of concurrently open pull requests a contributor
+    # without write access can have. Pull requests over the cap can't be
+    # opened; draft pull requests count towards the cap. See
+    # https://arrow.apache.org/docs/dev/developers/bug_reports.html#pr-limit
+    creation_cap:
+      enabled: true
+      max_open_pull_requests: 3
+      include_drafts: true
+
 notifications:
   commits:      commits@arrow.apache.org
   issues_status: issues@arrow.apache.org

docs/source/developers/bug_reports.rst

@@ -243,12 +243,11 @@ Limit on concurrent pull requests
 +++++++++++++++++++++++++++++++++
 
 Due to the increase in pull requests opened by AI bots, and in order to keep
-the review queue manageable, contributors without the required access to the
-repository may have at most **3 pull requests open at the same time**.
-The required access is either write access (committers) or triage (collaborators).
-A pull request opened beyond that limit is automatically closed by a GitHub
-Actions workflow, with a comment explaining why. Once one of your other pull
-requests has been merged or closed, you can reopen it.
+the review queue manageable, contributors without write access to the
+repository may have at most **3 pull requests open at the same time**,
+including draft pull requests. GitHub does not allow opening a pull request
+beyond that limit. Once one of your other pull requests has been merged or
+closed, you can open a new one.
 
 .. _issue-assignment: