How to turn off news popup in KDE tray

These are probably notifications sent by your browser generated if you give a web site permission to send you desktop notifications. Here's an example:

YouTube request

For Chromium and Google Chrome, type chrome://settings/content/notifications in the address bar and press Enter. Then, enable/disable notifications as desired remembering to activate "Ask before sending".

Desktop notification settings for Chromium / Google Chrome

For Firefox, type about:preferences#searchResults in the address bar and press Enter. Click on Select next to notifications and make your choices.

Desktop notification settings for Firefox

Other browsers may have similar settings.