OIDC Auth provider with a third-party OIDC Server claims error

OIDC auth provider is configured following : Set up OIDC authentication in SharePoint Server with Microsoft Entra ID - SharePoint Server | Microsoft Learn

code and id_token is received, and browser is continuously getting redirected.

Below ULS errors observed.

1) No identity provider claim on the identity. Claim Type: "http://schemas.microsoft.com/sharepiont/2009/08/claims/identityprovider". Identity Name: <name> "domain\AppPoolUser"</name>
2) Trusted login provider is not sending configured input identity claim type. Provider name : 'SPSEOIDCPRovider', InputClaim Type: 'http://schemas.xmlsoap.org/ws/2005/05/identity/claims/emailaddress'
An exception occured when trying to issue security token. The trusted login provider did not supply a token accepted by this farm.