@Pamisetty Hariprasad You seems to having a similar issue as per https://stackoverflow.com/questions/66004746/sso-link-not-working-in-edge-browser-in-a-sharepoint-2013-site
Can you confirm if the application site is not running in IE mode in edge browser, change it to native edge mode to see if it makes any difference.
Check more https://learn.microsoft.com/en-us/deployedge/edge-ie-mode and https://learn.microsoft.com/en-us/deployedge/edge-ie-mode-policies
Let us know if it helps.
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