Automator / System Error

Hello I'm new to this field. Thanks for your understanding.

I have this small automator programme which works fine (Type the Date)

on run {input, parameters}

set dateString to do shell script "date +'%Y.%m.%d'"

tell application "System Events"

	keystroke dateString

end tell

end run

When I'm trying to run it from system preferences/keybord/services I get this error

The action “Run AppleScript” encountered an error: “System Events got an error: Automator Workflow Runner (WorkflowServiceRunner, Type the Date) is not allowed to send keystrokes.”

I've activated the Apps (Automator, Script Editor and AppleScript Utility) as described in

https://apple.stackexchange.com/questions/394275/com-automator-runner-xpc-is-not-allowed-to-send-keystrokes

It works fine in Pages when the Automator App is open.

My Mac version is 12.3.1

Where is the bug? Thanks