Hello,
Thank you for posting in Q&A forum.
According to the Microsoft Official Documentation, your PC meets the requirements for running Azure Data Studio.
To further troubleshoot this issue, please kindly try below steps:
1.Download the installer from below Microsoft Official website and install again.
2.Install Azure Data Studio as administrator and see if it helps.
3.Check if dependency .NET Desktop Runtime is installed or not.
4.Disable antivirus or firewall temporarily and give another try on installation.
To help other customers who may be facing the same issue, please don't forget to vote if the reply is helpful.
Best Regards
Zunhui