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You should be able to do something like

const myLambda = new aws.lambda.Function("http", {
    packageType: "Image",
    imageUri: image.imageValue,
    role: role.arn,
});

let endpoint = new awsx.apigateway.API("example", {
    routes: [{
        path: "/",
        method: "GET",
        eventHandler: myLambda,
    }],
});

@Mikhail Shilkov Thanks. will try and revert.