How to Use an Existing Signing Profile for Lambda Functions in AWS CDK?

Question

We deploy our Lambda functions using the AWS CDK and need to sign all Lambda code with a single, existing signing profile. While I understand how to create and apply a new signing profile within a Lambda's definition, this approach doesn't meet our needs. Instead, we want to utilize an already existing signing profile.

Here's how we currently apply a new signing profile:

SigningProfile signingProfile = SigningProfile.Builder.create(this, "SigningProfile-resId")
                .platform(Platform.AWS_LAMBDA_SHA384_ECDSA)
                .build();

CodeSigningConfig codeSigningConfig = CodeSigningConfig.Builder.create(this, "codeSigningConfig-resId")
                .signingProfiles(List.of(signingProfile))
                .build();

return Function.Builder.create(this, functionName)
                .runtime(----)
                .architecture(---)
                .handler(handler)
                .code(----)
                .codeSigningConfig(codeSigningConfig)
                .memorySize(memorySize)
                .role(functionRole)
                .timeout(Duration.seconds(timeoutInSeconds))
                .environment(functionEnvironmentVariables)
                .description(description)
                .build();

How can we modify this to use an existing signing profile instead of creating a new one?