ChatCleaner

[FoxHound]

You can also use the Sanitize replay feature (if you really want to erase the chat due to other reasons). Right click at the replay file and left click at Sanitize.

[MonkeyIsland]

Sanitize removes private chats only.

[FoxHound]

Sanitize removes private chats only.

Oh, I didn't know this. Good to know. Thanks!

[kurs]

Thanks to @CyberShadow.

The option is actually in the game advanced menu called "Phone chat notification".

Hope this helps.

It really helped a lot, everything turned out to be so simple) Thank you!