To expand a Writable Volume in VMware Horizon, the administrator needs to navigate to the Volumes > Writables section in the Horizon Console, select the specific volume, and choose the option to update or expand the writable volume. The new size specified must be at least 1GB larger than the current size to ensure there is enough space for the expansion process and to accommodate the growth of user data.

The VMware Horizon component that needs to be deployed to allow users to log into VMware Workspace ONE Access and connect to remote desktops and applications without having to provide Active Directory credentials is the Enrollment Server. The Enrollment Server is a standalone service that integrates with VMware Workspace ONE Access and enables True Single Sign-On (SSO) for Horizon clients that are using non-AD-based authentication methods such as RSA SecureID, RADIUS, or SAML1. The Enrollment Server requests short-lived certificates on behalf of the users from a certificate authority (CA), and these certificates are used for authentication to the Horizon environment2. The Enrollment Server must be installed and configured in the same domain or forest as the Connection Server, and it must have an enrollment agent certificate that authorizes it to act as an enrollment agent2.
The other options are not valid or feasible because:
A Replica Server is a Connection Server instance that replicates the Horizon LDAP configuration data from another Connection Server instance, and provides high availability and load balancing for user connections3. A Replica Server does not request or issue certificates for users, and it does not integrate with VMware Workspace ONE Access.
A Security Server is a Connection Server instance that resides within a DMZ and acts as a proxy for external user connections to the Horizon environment4. A Security Server does not request or issue certificates for users, and it does not integrate with VMware Workspace ONE Access. Security Servers are deprecated in Horizon 8 and replaced by Unified Access Gateways (UAGs)4.
A vCenter Server is a management platform that provides centralized control and visibility of vSphere hosts and virtual machines in the Horizon environment5. A vCenter Server does not request or issue certificates for users, and it does not integrate with VMware Workspace ONE Access.
References:
VMware Horizon 8.x Professional by Vmware1
Install and Set Up an Enrollment Server2
Install a Replica Connection Server Instance3
Install a Security Server4
vCenter Server Overview5

Explanation:

In VMware Horizon, to designate a Home Site for a user, you would use the "Cloud Pod Architecture" feature, which allows you to set home sites and manage global entitlements across multiple pods and sites in a Horizon environment.
In the exhibit's menu on the left, you should click on "Cloud Pod Architecture" to proceed with designating a Home Site for a user.

To entitle users and groups to pools, you need to perform the following steps:
During pool creation in the entitlement pane, click on add, search for users and groups in the Active Directory, continue and finish the pool creation. This option allows you to entitle users and groups to a desktop or application pool at the same time as you create the pool3.
Navigate to Inventory > Desktops > check mark a pool > click on Add Entitlement. This option allows you to add entitlements to an existing desktop or application pool after you create the pool4.
Navigate to Users and Groups > Entitlements > click on Entitlements > click on Add Entitlements, search for users and groups in the Users pane and add the desired desktop pool in the next pane Desktop Pools. This option allows you to review and manage the entitlements for users and groups from a single location5.
The other options are not required or valid for entitling users and groups to pools. Running the Active Directory entitlement script in the golden master is not necessary as Horizon 8 automatically synchronizes with Active Directory domains that are configured in Horizon Console6. Specifying the desired Active Directory OU for the VMs during pool creation does not automatically add the preconfigured associated user group to the Horizon entitlements as you still need to select the users or groups from the search results7. References := 3: VMware Horizon 8 Documentation: Add Entitlements During Pool Creation 4:
VMware Horizon 8 Documentation: Add Entitlements After Pool Creation 5: VMware Horizon 8 Documentation: Review and Manage Entitlements 6: VMware Horizon 8 Documentation: Active Directory Requirements for Horizon Connection Server 7: VMware Horizon 8 Documentation: Create an Automated Desktop Pool