Here is a related thread discussed the similar issue as yours: Issue with multiple domains on Exchange Server 2016
You need an autodiscover entry for every domain in your public certificate. If you don't want to change your certificate, you can create SRV-records in your internal and external DNS to get Autodiscover working properly without certificate errors. Also, you can configure a http redirect solution.
- Regarding to configuring SRV records: Exchange 2013, 2016 - Autodiscover with multiple domains and single name certificate
- And another method, configuring HTTP redirect: Exchange 2010 AutoDiscover for Multi-Tenant
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