Hi and welcome @net_reklame,
Do you mean regarding this post of yours?
Answering to the first post and yes, you should have unlimited everyday text chats, subject to to abuse-prevention safeguards: ChatGPT Free Tier FAQ | OpenAI Help Center.
Which browser? Does it happen in every browser? Every new chat? Have you tried log out and back in, refresh the page, clear browser cache?
If it still shows “message limit exceeded”, you can email directly to support or use the link above and tap the speech bubble on the right side.