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Hi @MilkLatte
To identify the cause of the issue, you can refer to the SQL Server error log located at C:\Program Files\Microsoft SQL Server\MSSQL15.MSSQLSERVER\MSSQL\ERRORLOG (assuming a default installation). This log file contains important details about the startup process and any errors encountered during installation.
Also, you can refer MS TechNet Wiki: SQL Server Troubleshooting: Could Not Find Database Engine Startup Handle Error During installation for such errors.
Thank you!