Override project status in Closed Bugs workflow (#46253)

Since the project board to which the closed bugs with new comments are
added might have an automated workflow for moving closed issues to the
"Done" status, we need to override the status to ensure the bugs are
actually surfaced to the team and not buried in "Done".

Release Notes:

- N/A

.github/workflows/add_commented_closed_issue_to_project.yml

@@ -42,8 +42,69 @@ jobs:
             }
 
       # Add to the support team's board for triage
-      - if: steps.check-staff.outputs.result == 'false'
+      - id: add-to-project
+        if: steps.check-staff.outputs.result == 'false'
         uses: actions/add-to-project@244f685bbc3b7adfa8466e08b698b5577571133e # v1.0.2
         with:
           project-url: https://github.com/orgs/zed-industries/projects/71
           github-token: ${{ steps.get-app-token.outputs.token }}
+
+      # Set status to "Incoming" (overrides project's default "Closed" automation)
+      - if: steps.add-to-project.outputs.itemId
+        uses: actions/github-script@60a0d83039c74a4aee543508d2ffcb1c3799cdea # v7.0.1
+        with:
+          github-token: ${{ steps.get-app-token.outputs.token }}
+          script: |
+            const itemId = '${{ steps.add-to-project.outputs.itemId }}';
+            const projectNumber = 71;
+
+            // Get project ID and Status field in one query
+            const { organization } = await github.graphql(`
+              query($org: String!, $projectNumber: Int!) {
+                organization(login: $org) {
+                  projectV2(number: $projectNumber) {
+                    id
+                    field(name: "Status") {
+                      ... on ProjectV2SingleSelectField {
+                        id
+                        options {
+                          id
+                          name
+                        }
+                      }
+                    }
+                  }
+                }
+              }
+            `, { org: 'zed-industries', projectNumber });
+
+            const project = organization.projectV2;
+            if (!project.field) {
+              throw new Error('Could not find "Status" field in project');
+            }
+
+            const incomingOption = project.field.options.find(o => o.name === 'Incoming');
+            if (!incomingOption) {
+              throw new Error('Could not find "Incoming" status option');
+            }
+
+            // Update the item's status
+            await github.graphql(`
+              mutation($projectId: ID!, $itemId: ID!, $fieldId: ID!, $optionId: String!) {
+                updateProjectV2ItemFieldValue(input: {
+                  projectId: $projectId
+                  itemId: $itemId
+                  fieldId: $fieldId
+                  value: { singleSelectOptionId: $optionId }
+                }) {
+                  projectV2Item {
+                    id
+                  }
+                }
+              }
+            `, {
+              projectId: project.id,
+              itemId,
+              fieldId: project.field.id,
+              optionId: incomingOption.id
+            });