mapi machine with empty AuthoritativeAPI is set to AuthoritativeAPI:MachineAPI but should be AuthoritativeAPI:ClusterAPI when there is same name capi machine according to the enhancement doc https://github.com/openshift/enhancements/blob/master/enhancements/machine-api/converting-machine-api-to-cluster-api.md#summary-of-the-rules-outlined-above
Machine API '' Create Yes - Annotation is set to ClusterAPI and follows above description 

    4.20.0-0.nightly-2025-05-27-133818 

    always

    1.Create a capi standalone machine, it create success, then checked it's paused shows false 

liuhuali@Lius-MacBook-Pro huali-test % oc get machine.c -n openshift-cluster-api
NAME                                         CLUSTER              NODENAME                                   PROVIDERID                              PHASE     AGE     VERSION
huliu-aws28a-htsg5-worker-5                  huliu-aws28a-htsg5   ip-10-0-83-48.us-east-2.compute.internal   aws:///us-east-2c/i-0030eec51e080ada3   Running   6m40s       
huliu-aws28a-htsg5-worker-us-east-2a-n2w4k   huliu-aws28a-htsg5   ip-10-0-15-33.us-east-2.compute.internal   aws:///us-east-2a/i-09c425eb8ffd48116   Running   5h47m   
huliu-aws28a-htsg5-worker-us-east-2b-xg5nt   huliu-aws28a-htsg5   ip-10-0-38-61.us-east-2.compute.internal   aws:///us-east-2b/i-0161134d3ca7125a2   Running   5h44m   
huliu-aws28a-htsg5-worker-us-east-2c-s5gxn   huliu-aws28a-htsg5                                              aws:///us-east-2c/i-05310e663dc0ca96c             7h52m   
liuhuali@Lius-MacBook-Pro huali-test % oc get awsmachine -n openshift-cluster-api
NAME                                         CLUSTER              STATE     READY   INSTANCEID                              MACHINE
huliu-aws28a-htsg5-worker-5                  huliu-aws28a-htsg5   running   true    aws:///us-east-2c/i-0030eec51e080ada3   huliu-aws28a-htsg5-worker-5
huliu-aws28a-htsg5-worker-us-east-2a-n2w4k   huliu-aws28a-htsg5   running   true    aws:///us-east-2a/i-09c425eb8ffd48116   huliu-aws28a-htsg5-worker-us-east-2a-n2w4k
huliu-aws28a-htsg5-worker-us-east-2b-xg5nt   huliu-aws28a-htsg5   running   true    aws:///us-east-2b/i-0161134d3ca7125a2   huliu-aws28a-htsg5-worker-us-east-2b-xg5nt
huliu-aws28a-htsg5-worker-us-east-2c-s5gxn   huliu-aws28a-htsg5                     aws:///us-east-2c/i-05310e663dc0ca96c   huliu-aws28a-htsg5-worker-us-east-2c-s5gxn

    2.Create a same name mapi machine with empty AuthoritativeAPI 

liuhuali@Lius-MacBook-Pro huali-test % cat ms1.yaml 
apiVersion: machine.openshift.io/v1beta1
kind: Machine
metadata:
  name: huliu-aws28a-htsg5-worker-5
  namespace: openshift-machine-api
spec:
  authoritativeAPI:
  lifecycleHooks: {}
  metadata: {}
  providerSpec:
    value:
      ami:
        id: ami-0d4a7b7677c0c883f
      apiVersion: machine.openshift.io/v1beta1
      blockDevices:
      - ebs:
          encrypted: true
          iops: 0
          kmsKey:
            arn: ""
          volumeSize: 100
          volumeType: gp3
      capacityReservationId: ""
      credentialsSecret:
        name: aws-cloud-credentials
      deviceIndex: 0
      iamInstanceProfile:
        id: huliu-aws28a-htsg5-worker-profile
      instanceType: m6i.xlarge
      kind: AWSMachineProviderConfig
      metadata:
        creationTimestamp: null
      metadataServiceOptions: {}
      placement:
        availabilityZone: us-east-2c
        region: us-east-2
      securityGroups:
      - filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-node
      - filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-lb
      subnet:
        filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-subnet-private-us-east-2c
      tags:
      - name: kubernetes.io/cluster/huliu-aws28a-htsg5
        value: owned
      userDataSecret:
        name: worker-user-data
liuhuali@Lius-MacBook-Pro huali-test % 

    3.The mapi machine created success, and authoritativeAPI is set to MachineAPI. But according to enhancement doc https://github.com/openshift/enhancements/blob/master/enhancements/machine-api/converting-machine-api-to-cluster-api.md#summary-of-the-rules-outlined-above, it should be set to ClusterAPI

Machine API '' Create Yes - Annotation is set to ClusterAPI and follows above description

liuhuali@Lius-MacBook-Pro huali-test % oc create -f ms1.yaml 
machine.machine.openshift.io/huliu-aws28a-htsg5-worker-5 created
liuhuali@Lius-MacBook-Pro huali-test % oc get machine
NAME                                         PHASE          TYPE         REGION      ZONE         AGE
huliu-aws28a-htsg5-master-0                  Running        m6i.xlarge   us-east-2   us-east-2a   8h
huliu-aws28a-htsg5-master-1                  Running        m6i.xlarge   us-east-2   us-east-2b   8h
huliu-aws28a-htsg5-master-2                  Running        m6i.xlarge   us-east-2   us-east-2c   8h
huliu-aws28a-htsg5-worker-5                  Running        m6i.xlarge   us-east-2   us-east-2c   4s
huliu-aws28a-htsg5-worker-us-east-2a-n2w4k   Provisioning                                         5h52m
huliu-aws28a-htsg5-worker-us-east-2b-xg5nt                                                        5h48m
huliu-aws28a-htsg5-worker-us-east-2c-s5gxn   Running        m6i.xlarge   us-east-2   us-east-2c   8h      

liuhuali@Lius-MacBook-Pro huali-test % oc get machine huliu-aws28a-htsg5-worker-5  -oyaml
apiVersion: machine.openshift.io/v1beta1
kind: Machine
metadata:
  annotations:
    machine.openshift.io/instance-state: running
  creationTimestamp: "2025-05-28T10:00:19Z"
  finalizers:
  - sync.machine.openshift.io/finalizer
  - machine.machine.openshift.io
  generation: 2
  labels:
    machine.openshift.io/cluster-api-cluster: huliu-aws28a-htsg5
    machine.openshift.io/instance-type: m6i.xlarge
    machine.openshift.io/region: us-east-2
    machine.openshift.io/zone: us-east-2c
  name: huliu-aws28a-htsg5-worker-5
  namespace: openshift-machine-api
  resourceVersion: "205553"
  uid: ea32dd7b-a424-493b-b5cb-720aa5fc1b58
spec:
  authoritativeAPI: MachineAPI
  lifecycleHooks: {}
  metadata: {}
  providerID: aws:///us-east-2c/i-0030eec51e080ada3
  providerSpec:
    value:
      ami:
        id: ami-0d4a7b7677c0c883f
      apiVersion: machine.openshift.io/v1beta1
      blockDevices:
      - ebs:
          encrypted: true
          iops: 0
          kmsKey:
            arn: ""
          volumeSize: 100
          volumeType: gp3
      capacityReservationId: ""
      credentialsSecret:
        name: aws-cloud-credentials
      deviceIndex: 0
      iamInstanceProfile:
        id: huliu-aws28a-htsg5-worker-profile
      instanceType: m6i.xlarge
      kind: AWSMachineProviderConfig
      metadata:
        creationTimestamp: null
      metadataServiceOptions: {}
      placement:
        availabilityZone: us-east-2c
        region: us-east-2
      securityGroups:
      - filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-node
      - filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-lb
      subnet:
        filters:
        - name: tag:Name
          values:
          - huliu-aws28a-htsg5-subnet-private-us-east-2c
      tags:
      - name: kubernetes.io/cluster/huliu-aws28a-htsg5
        value: owned
      userDataSecret:
        name: worker-user-data
status:
  addresses:
  - address: 10.0.83.48
    type: InternalIP
  - address: ip-10-0-83-48.us-east-2.compute.internal
    type: InternalDNS
  - address: ip-10-0-83-48.us-east-2.compute.internal
    type: Hostname
  authoritativeAPI: MachineAPI
  conditions:
  - lastTransitionTime: "2025-05-28T10:00:19Z"
    status: "True"
    type: Drainable
  - lastTransitionTime: "2025-05-28T10:00:20Z"
    status: "True"
    type: InstanceExists
  - lastTransitionTime: "2025-05-28T10:00:19Z"
    message: The AuthoritativeAPI is set to MachineAPI
    reason: AuthoritativeAPIMachineAPI
    severity: Info
    status: "False"
    type: Paused
  - lastTransitionTime: "2025-05-28T10:00:20Z"
    message: Successfully synchronized MAPI Machine to CAPI
    reason: ResourceSynchronized
    severity: ""
    status: "True"
    type: Synchronized
  - lastTransitionTime: "2025-05-28T10:00:19Z"
    status: "True"
    type: Terminable
  lastUpdated: "2025-05-28T10:00:20Z"
  nodeRef:
    kind: Node
    name: ip-10-0-83-48.us-east-2.compute.internal
    uid: fbd9bead-6a30-47cd-b266-8315efa7bd2e
  phase: Running
  providerStatus:
    conditions:
    - lastTransitionTime: "2025-05-28T10:00:20Z"
      message: Machine successfully created
      reason: MachineCreationSucceeded
      status: "True"
      type: MachineCreation
    instanceId: i-0030eec51e080ada3
    instanceState: running
  synchronizedGeneration: 2
liuhuali@Lius-MacBook-Pro huali-test % 

    mapi machine create success, authoritativeAPI is set to MachineAPI

    authoritativeAPI should be set to ClusterAPI

    must-gather: https://drive.google.com/file/d/10TakwYAlZgPCrEBcQzo3364J1C8NUQeC/view?usp=sharing

    enhancement: https://drive.google.com/file/d/1H7laPha5P0Z_F3K4jDlqinCllCUhztKQ/view?usp=sharing