Adobe highly recommends NOT having two copies of Adobe Launch on your site, but having 2 orgs, you may not have an option... however, you will definitely need to use the above:
https://experienceleague.adobe.com/docs/analytics/implementation/vars/functions/s-gi.html?lang=en
to change how one of the suites collects (s object to z object) to try and avoid conflicts... but on top of that, I am worried that your ECID data will get corrupted... since the system is not designed to generate two identifiers for different organizations.
Do you have a CSM (customer success manager)? I would reach out to them and have them get you some help from Adobe on how to successfully track this without messing up both accounts.....
This will likely also require a lot of custom code implementation, just so you are aware....
This is beyond most of us, since most of us do not have to track to multiple organizations... multiple suites, yes... to multiple companies, on occasion... but multiple orgs is extremely tricky since each org has their own ECID values that will cause some issues....