chore: update to latest version of integ workflow (#169)

This one should also work from forks.

---
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under the terms of the Apache-2.0 license

.projenrc.ts

@@ -164,7 +164,7 @@ const repoProject = new yarn.Monorepo({
 
   defaultReleaseBranch: 'main',
   devDeps: [
-    'cdklabs-projen-project-types@^0.1.220',
+    'cdklabs-projen-project-types',
     'glob',
     'semver',
     `@aws-sdk/client-s3@${CLI_SDK_V3_RANGE}`,
@@ -1328,11 +1328,11 @@ const APPROVAL_ENVIRONMENT = 'integ-approval';
 const TEST_ENVIRONMENT = 'run-tests';
 
 new CdkCliIntegTestsWorkflow(repo, {
+  sourceRepo: 'aws/aws-cdk-cli',
   approvalEnvironment: APPROVAL_ENVIRONMENT,
   testEnvironment: TEST_ENVIRONMENT,
   buildRunsOn: POWERFUL_RUNNER,
   testRunsOn: POWERFUL_RUNNER,
-  expectNewCliLibVersion: true,
 
   localPackages: [
     // CloudAssemblySchema is not in this list because in the way we're doing