Two HTTP Methods for one AWS API Gateway Resource - aws-cloudformation

Question

There is this wicked post about configuring an API Gateway method for CORS through CloudFormation, and I'm giving it a go. I want to create the following endpoint with two methods, "options" and "post":
/image/submit
Here is my CF template snippet:
ApiDefault:
Type: "AWS::ApiGateway::RestApi"
Properties:
Name: "Stash-Default"
FailOnWarnings: true
ApiDefaultDeployment:
Type: AWS::ApiGateway::Deployment
DependsOn:
- "ApiMethodImageSubmitPost"
- "ApiMethodImageSubmitOption"
Properties:
RestApiId: !Ref "ApiDefault"
StageName: "v1"
ApiResourceImage:
Type: "AWS::ApiGateway::Resource"
Properties:
ParentId: !GetAtt ["ApiDefault", "RootResourceId"]
PathPart: "image"
RestApiId: !Ref "ApiDefault"
ApiResourceImageSubmit:
Type: "AWS::ApiGateway::Resource"
Properties:
ParentId: !Ref "ApiResourceImage"
PathPart: "submit"
RestApiId: !Ref "ApiDefault"
ApiMethodImageSubmitPost:
Type: "AWS::ApiGateway::Method"
Properties:
HttpMethod: "POST"
AuthorizationType: "NONE"
MethodResponses:
- StatusCode: "200"
Integration:
IntegrationHttpMethod: "POST"
Type: "AWS_PROXY"
IntegrationResponses:
- StatusCode: "200"
Credentials: !GetAtt [ "ExecuteApiMethodImageSubmit", "Arn" ]
Uri: !Sub
- "arn:aws:apigateway:${AWS::Region}:lambda:path/2015-03-31/functions/${lambdaArn}/invocations"
- lambdaArn: !GetAtt [ "ImageReceive", "Arn" ]
RestApiId: !Ref "ApiDefault"
ResourceId: !Ref "ApiResourceImageSubmit"
ApiMethodImageSubmitOption:
Type: "AWS::ApiGateway::Method"
Properties:
HttpMethod: "OPTIONS"
AuthorizationType: "NONE"
Integration:
Type: "MOCK"
IntegrationResponses:
- StatusCode: "200"
ResponseParameters:
method.response.header.Access-Control-Allow-Headers: "'Content-Type,X-Amz-Date,Authorization,X-Api-Key,X-Amz-Security-Token'"
method.response.header.Access-Control-Allow-Methods: "'POST,OPTIONS'"
method.response.header.Access-Control-Allow-Origin: "'*'"
MethodResponses:
- StatusCode: "200"
ResponseModels:
application/json: "Empty"
ResponseParameters:
method.response.header.Access-Control-Allow-Headers: false
method.response.header.Access-Control-Allow-Methods: false
method.response.header.Access-Control-Allow-Origin: false
RestApiId: !Ref "ApiDefault"
ResourceId: !Ref "ApiResourceImageSubmit"
It bombs saying ApiMethodImageSubmitPost:
Method already exists for this resource (Service: AmazonApiGateway;
Status Code: 409; Error Code: ConflictException; Request ID:
454cf46a-b434-4626-bd4b-b6d4fe21142c)
Can you create two http-methods for a single API resource in this fashion? I'm not having a ton of luck with AWS' docs on this one.