Our engineering team has built an alternative/fallback flow for sending replies from Pylon to Teams Shared channels that requires additional configuration from your team to enable and leverages an integration user account. We have the steps to set this up detailed in this article and you should now see the additional configuration steps in your Teams integration page within Pylon.
Note: this is needed in addition to the existing app connection to Teams to send to Shared channels and is not a full replacement. We are still pursuing a path forward with Microsoft to address the underlying changes to bot permissions that caused this issue.