Reproduce error TooMany requests when managing several API Gateway resources with Cloudformation using CDK

app.ts

#!/usr/bin/env node
import 'source-map-support/register';
import * as cdk from 'aws-cdk-lib';
import { DebugNightlyBuildStack, DebugNightlyBuildStackWithDependency, DebugNightlyBuildWithNestedStacks, DebugNightlyBuildWithNestedStacksWithDependency } from '../lib/debug-stack';

const app = new cdk.App();
new DebugNightlyBuildStack(app, 'DebugNightlyBuildStack'); // this one crashes on delete
new DebugNightlyBuildWithNestedStacks(app, "DebugNightlyBuildWithNestedStacks"); // this one crashes on delete
new DebugNightlyBuildStackWithDependency(app, "DebugNightlyBuildStackWithDependency"); // this one works
new DebugNightlyBuildWithNestedStacksWithDependency(app, "DebugNightlyBuildWithNestedStacksWithDependency"); // this one works

debug-stack.ts

import * as cdk from 'aws-cdk-lib';
import { Construct } from 'constructs';
import * as apigateway from 'aws-cdk-lib/aws-apigateway';


const createApi = (scope: Construct, id: string) => {
  const restApi = new apigateway.RestApi(scope, id);
  restApi.root.addMethod('ANY');
  const method = restApi.root.addResource('pets').addMethod('GET', new apigateway.MockIntegration({
    integrationResponses: [{
      statusCode: '200',
    }],
    requestTemplates: {
      'application/json': '{ "statusCode": 200 }',
    },
  }), {
    methodResponses: [{ statusCode: '200' }],
  });
  restApi.methods.push(method);
  return restApi;
}

export class DebugNightlyBuildStack extends cdk.Stack {
  constructor(scope: Construct, id: string, props?: cdk.StackProps) {
    super(scope, id, props);

    for (let i = 0; i < 20; i++) {
      createApi(this, `RestAPI${i}`);
    }
  }
}

class NestedStackAPI extends cdk.NestedStack {
  constructor(scope: Construct, id: string, props?: cdk.NestedStackProps) {
    super(scope, id, props);
    createApi(this, "RestAPI");
  }
}

export class DebugNightlyBuildWithNestedStacks extends cdk.Stack {
  constructor(scope: Construct, id: string, props?: cdk.StackProps) {
    super(scope, id, props);

    for (let i = 0; i < 20; i++) {
      new NestedStackAPI(this, `NestedAPI${i}`, props);
    }
  }
}


export class DebugNightlyBuildStackWithDependency extends cdk.Stack {
  constructor(scope: Construct, id: string, props?: cdk.StackProps) {
    super(scope, id, props);

    const apis = [];
    for (let i = 0; i < 20; i++) {
      apis.push(createApi(this, `RestAPI${i}`));
      if (apis[i - 1] !== undefined) {
        apis[i].node.addDependency(apis[i - 1]);
      }
    }
  }
}

export class DebugNightlyBuildWithNestedStacksWithDependency extends cdk.Stack {
  constructor(scope: Construct, id: string, props?: cdk.StackProps) {
    super(scope, id, props);

    const stacks = [];
    for (let i = 0; i < 20; i++) {
      stacks.push(new NestedStackAPI(this, `NestedAPI${i}`, props));
      if (stacks[i - 1] !== undefined) {
        stacks[i].addDependency(stacks[i - 1]);
      }
    }
  }
}