[sns] Lambda function in different region subscription error

I had this working before in previous CDK version. However, not working in recent CDK version.
I have a lambda function in **ap-southeast-2** region, I am trying to add that lambda function in the sns topic subscriber in **us-east-1** region.
From the AWS console, I can find the function arn and make it as sns subscriber, however not from cdk.

### Reproduction Steps
#### Lambda function imported
const snsSubscriberLambda = lambda.Function.fromFunctionArn(
this,
"snsSubsciberLambda",
"arn:aws:lambda:ap-southeast-2:XXXXXXX:function:XXXX"
);
// add snsSubsciberLambda as topic subscriber
topic.addSubscription(
new subscription.LambdaSubscription(snsSubscriberLambda)
);

This will result in error like the following:
Functions from 'ap-southeast-2' are not reachable in this region ('us-east-1') (Service: AWSLambda; Status Code: 404; Error Code: ResourceNotFoundException; Request ID: XXXXXXX; Proxy: null)

### What did you expect to happen?
There should be no error creating a subscription for lambda function in other region.

### What actually happened?
Permission error occurred.

snsSubsciberLambda/AllowInvoke:XXXXXXX

### Environment

- **CLI Version :1.68.0**
- **Framework Version:**
- **Node.js Version:v12.14.1**
- **OS :Windows**
- **Language (Version):TypeScript (4.0.3)**

### Other

---

This is :bug: Bug Report

Start by tracing lambda.Function.fromFunctionArn and topic.addSubscription(new subscription.LambdaSubscription(...)) in the CDK source, focusing on how the imported Lambda region is handled. Reproduce the ap-southeast-2 Lambda and us-east-1 SNS topic case, then verify that creating the subscription no longer raises the cross-region ResourceNotFoundException.

Written by the indexing model from the issue text.