@Nodir Sadullaev
Welcome to the Microsoft Q&A forum
Please Check the below steps and let us know
Check Resource Limits: Ensure that your ADF instance in the Stage environment isn't hitting any resource limits. Sometimes, resource constraints can cause such errors.
Validate ARM Templates: Since the issue started after promoting your Dev environment to Stage using ARM templates, double-check the templates for any discrepancies or missing configurations. Ensure that all resources and dependencies are correctly defined.
Integration Runtime: Verify that the integration runtime (IR) settings are correctly configured in the Stage environment. Sometimes, issues with the IR can cause problems during debugging
Pipeline Configuration: Review the pipeline configuration in the Stage environment. Ensure that all parameters, connections, and activities are correctly set up. Pay special attention to any differences between the Dev and Stage configurations
Permissions and Access: Ensure that the ADF instance in the Stage environment has the necessary permissions to access all required resources. Sometimes, permission issues can cause such errors.
Logs and Diagnostics: Check the ADF logs and diagnostics for more detailed error messages. These logs can provide additional insights into what might be causing the issue
Recreate Pipeline: If the issue persists, consider recreating the pipeline in the Stage environment. Sometimes, recreating the pipeline from scratch can resolve underlying issues
I hope the above steps will resolve the issue, please do let us know if issue persists. Thank you