Hi Lucas,
This is excellent progress. Your screenshots confirm that the cluster is currently stable with two nodes (PWGIRSQL1 and PWGIRSQL3) and, most importantly, your SQL Always On Availability Group (GIR_AG) is synchronized and healthy between them.
Now, yes, the next step is to add PWGIRSQL2 back to the cluster. But since you just ran Sysprep, that machine is effectively "brand new" in the eyes of Windows. You can't add it immediately, you must prepare the operating system first.
Here is my suggestion to bring PWGIRSQL2 back safely without breaking the existing stability:
Phase 1: OS Configuration (Post-Sysprep)
Because Sysprep strips configuration, PWGIRSQL2 is currently in an unconfigured state.
Configure Networking: Assign the Static IP addresses (Management, Heartbeat, etc.) to match your original scheme. Ensure DNS points to your domain controllers.
Join the Domain: Join PWGIRSQL2 back to the domain telecom.arg.telecom.com.ar.
After the reboot, open Command Prompt and run whoami /user. Compare the SID (the long alphanumeric string) with the SID of PWGIRSQL3. They must be different now. If they are different, the Sysprep was successful.
Install Prerequisites: Install the Failover Clustering feature via Server Manager or PowerShell: Install-WindowsFeature -Name Failover-Clustering -IncludeManagementTools.
Install the NET Framework 3.5 if your SQL Server version requires it.
Phase 2: Add the Node
Do not use the "Validate a Configuration" wizard on the entire cluster yet (to avoid the freezing you saw earlier). We will add the node directly, as we know the other two are healthy.
Open Failover Cluster Manager on PWGIRSQL1.
Right-click the Nodes folder and select Add Node.
Enter PWGIRSQL2 and follow the wizard.
The wizard might ask to run validation. You can choose "No, I do not want to run validation support test" to skip it and add the node immediately. Given the network sensitivity in your environment, skipping validation for now is acceptable to get the node joined, provided you are certain the network settings are correct.
Phase 3: SQL Server Re-installation
Adding the node to the Windows Cluster does not automatically add it back to SQL Server.
Once PWGIRSQL2 is "Up" in Cluster Manager, you must run the SQL Server Installation Center on Node 2.
Select "Add a node to a SQL Server Failover Cluster" (if using FCI) or simply install the Standalone SQL Server instance (if using Always On Availability Groups, which appears to be your case).
Once SQL is running, you will then use SQL Management Studio (SSMS) on the Primary (PWGIRSQL1) to add PWGIRSQL2 back as a Replica in the Availability Group wizard.
I hope you've found something useful here. If it helps you get more insight into the issue, it's appreciated to accept the answer then. Should you have more questions, feel free to leave a message. Have a nice day!
VP