Dear Brian Brice,
Good day. After thorough research, testing from my end and consulting, it’s been concluded that Currently, it is not feasible to customize specific conversation thread and not affected the others channel conversation in teams. Indeed you can customize your notification for your channels in teams and customize the displays notification for each channels. Reference : Customize channel notifications in Microsoft Teams - Microsoft Support [9fd5-6f93-4ea-539c]
We apologize if we are not able to meet your requirements; however, thank you for bringing this to our attention, we will surely raise you concerns to our Product Team and hopefully this can be included in the future updates.
Please be advised that as a part of the community team, we are here to assist you in troubleshooting and providing information on the availability status of features. The product design, development decisions are taken care by the product team. However, it's important to note that our community team and the Microsoft product development team operate independently. Therefore, for feature suggestions or design-related queries, we always encourage users to directly submit feedback to the Microsoft product team.
In the meantime, please feel free to post this in our Feedback community by visiting Microsoft Teams · Community as it is a community monitored by our Product team to help improve user experience with Teams, via feedback given by our valuable customers.
For other concerns, please do not hesitate to add you post in the Microsoft Community Team.
Thank you for choosing Microsoft as your partner in business.
Sincerely, Eben Ezer Tres | Microsoft Community Moderator