Is there a way to connect 2 Ai foundry to the same cosmos containers?

I defined Azure AI Foundry Connection for Azure Cosmos DB and BYO Thread Storage in Azure AI Agent Service by using these instructions:

Integration with Azure AI Agent Service - Azure Cosmos DB for NoSQL | Microsoft Learn

I see that it created 3 containers under the cosmos I provided:

<guid>-agent-entity-store

v-system-thread-message-store

<guid>-thread-message-store

 

Now I created another AI foundry and added a connection for the same AI foundry, and it created 3 different containers under the same DB.

Is there a way that they'll use the same exact containers? I want to use multiple AI foundries, and they will use the same Cosmos containers to manage the data.