add support for using ParameterMapping in LambdaProxyIntegration

[yip-anthony-principal]

Description

it seems the new ParameterMapping function only support HttpAlbIntegration. If I understand correctly it is not possible to add parameter mapping to LambdaProxyIntegration, if so is there any workaround for this?

Use Case

it's configurable on the AWS API Gateway website but not configurable on the AWS CDK

Proposed Solution

add support for it, like #15630

Other information

No response

Acknowledge

• I may be able to implement this feature request
• This feature might incur a breaking change

[dan-lind]

This shouldn't be a problem really, there are unit tests in place for LambdaProxyIntegration as well.

new LambdaProxyIntegration({
    handler: fooFunction(stack, 'Fn'),
    parameterMapping: new ParameterMapping()
      .appendHeader('header2', MappingValue.requestHeader('header1'))
      .removeHeader('header1'),
}),

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[yip-anthony-principal]

you are correct, thanks.

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