Are you seeing any sort of error message?
Usually there is some sort of error message when Skyline cannot start.
I think there was a user many years ago who had a problem that Skyline would not start. That problem turned out to have something to do with the way that Windows sometimes refuses to run some programs on your computer in order to protect you from programs from unknown sources.
Usually, Windows presents you with a window that lets you choose "More Info" and then "Run Anyway", but there was I guess some reason that Windows was not even offering that.

The usual way to deal with Skyline not starting is to go into "Programs and Features" in Windows Control Panel and uninstall Skyline and install it again from the web site.
If you are unable to get the regular Skyline installer to work you might have more success with the "Unplugged" installer:
https://skyline.ms/wiki/home/software/Skyline/page.view?name=install-64-disconnected_23_1
-- Nick

There’s no error message at all. When I checked the Task Manager, I noticed that Skyline appears briefly in the processes and then disappears. I’ll likely try reinstalling it to see if that resolves the issue.

Thanks for your help!

I tried that, when i try to install it. It says, application cant be installed. Contact the vendor.

When you get the "Application cannot be started. Contact the application vendor" message, there should be a "Details" button.
Can you send us the text file that you get shown when you push the "Details" button?
-- Nick

PLATFORM VERSION INFO
    Windows             : 10.0.22631.0 (Win32NT)
    Common Language Runtime     : 4.0.30319.42000
    System.Deployment.dll         : 4.8.9176.0 built by: NET481REL1LAST_B
    clr.dll             : 4.8.9282.0 built by: NET481REL1LAST_C
    dfdll.dll             : 4.8.9176.0 built by: NET481REL1LAST_B
    dfshim.dll             : 10.0.22621.30000 (WinBuild.160101.0800)

SOURCES
    Deployment url            : file:///C:/Users/CompleteOmics1/Downloads/Skyline-64_24_1_0_199/Skyline-64_24_1_0_199/Skyline.application

ERROR SUMMARY
    Below is a summary of the errors, details of these errors are listed later in the log.
    * Activation of C:\Users\CompleteOmics1\Downloads\Skyline-64_24_1_0_199\Skyline-64_24_1_0_199\Skyline.application resulted in exception. Following failure messages were detected:
        + Lock timeout exception.

COMPONENT STORE TRANSACTION FAILURE SUMMARY
    No transaction error was detected.

WARNINGS
    There were no warnings during this operation.

OPERATION PROGRESS STATUS
    * [12/19/2024 3:25:12 PM] : Activation of C:\Users\CompleteOmics1\Downloads\Skyline-64_24_1_0_199\Skyline-64_24_1_0_199\Skyline.application has started.

ERROR DETAILS
    Following errors were detected during this operation.
    * [12/19/2024 3:27:12 PM] System.Deployment.Application.DeploymentException (LockTimeout)
        - Lock timeout exception.
        - Source: System.Deployment
        - Stack trace:
            at System.Deployment.Application.LockedFile.AcquireLock(String path, TimeSpan timeout, Boolean writer)
            at System.Deployment.Application.SubscriptionStore.RefreshStorePointer()
            at System.Deployment.Application.ApplicationActivator.PerformDeploymentActivation(Uri activationUri, Boolean isShortcut, String textualSubId, String deploymentProviderUrlFromExtension, BrowserSettings browserSettings, String& errorPageUrl, Uri& deploymentUri)
            at System.Deployment.Application.ApplicationActivator.PerformDeploymentActivationWithRetry(Uri activationUri, Boolean isShortcut, String textualSubId, String deploymentProviderUrlFromExtension, BrowserSettings browserSettings, String& errorPageUrl)
--- End of stack trace from previous location where exception was thrown ---
            at System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw()
            at System.Deployment.Application.ApplicationActivator.PerformDeploymentActivationWithRetry(Uri activationUri, Boolean isShortcut, String textualSubId, String deploymentProviderUrlFromExtension, BrowserSettings browserSettings, String& errorPageUrl)
            at System.Deployment.Application.ApplicationActivator.ActivateDeploymentWorker(Object state)

COMPONENT STORE TRANSACTION DETAILS
    No transaction information is available.

The error that you are getting is "Lock timeout exception".
I asked ChatGPT what to do about this and it suggested several things including run the following to clear the ClickOnce cache:
rundll32 dfshim CleanOnlineAppCache

ChatGPT had many other ideas and you can see the whole conversation here:
https://chatgpt.com/share/676484b8-d600-800a-81e0-85b999da51c5
-- Nick