(watch): occasionally throws "Error occurred while monitoring logs: ThrottlingException: Rate exceeded"

### Describe the bug

Today, as I was developing something normally - I randomly got the following error in the CLI. This happened around 10 minutes after the terminal was "hanging" after a successful deploy of 3 stacks, deployed through the `cdk deploy '*-app' --require-approval=never` command

.

### Expected Behavior

No throttling errors

### Current Behavior

Throttling error in terminal

### Reproduction Steps

1. Run "cdk watch" normally.
2. Wait for the error to appear sporadically.

### Possible Solution

Reduce polling interval maybe? Or suppress the throttling error, since it doesn't actually impact the UX.

### Additional Information/Context

I've only encountered this once today. I've been using "cdk watch" for months and haven't seen this before.

### CDK CLI Version

2.16.0 (build 4c77925)

### Framework Version

_No response_

### Node.js Version

16.14.0

### OS

MacOS 12.3.1 Monterey

### Language

Typescript

### Language Version

4.5.5

### Other information

_No response_