After upgrading to macOS 12.6.1 slowness of apps

We need to know more in order to help.

Opening applications should usually not be affected by the network speed, but disk type and free space will be relevant, and other software installed can also contribute to the problem. Please run Etrecheck and post its full report here.

Use the “additional text” button and paste the report into the text box.

Agree with suggestion fro @ Luis S and Download the Application Etrecheck directly from the Developer. 

The application is free or paid from added features. 

It will take a Snap Shot -  both the hardware and software.

 The Report will Not Reveal Any Personal Information. 

Post back the Full Report - copy and paste ——> using the Additional Text Icon ( 3rd Icon to last ) <——

We can have a look at the report for possible issues and may have possible suggestions to resolve the issues.