how ARS will work or effect after domain name renamed

Hello Experts,

We have an ARS-enabled environment where we are using ARS ,Change auditor for AD ,recovery and backup ,Account and group management and others features of Quest software.
we have a new Microsoft Azure tenant and on prem AD. we have installed all these above tool features in new on pre-AD and now we need to change domain name of on-prem AD where all these tools are installed.

how this tool supports domain rename changes. Is this still working well after the domain was renamed?

Thanks

Richa