to accept my offer? There is no mention of bidding or accepting the highest offer in the brokers add.
5 hours later and no answer! Isn't there even 1 lawyer that knows the answer to my question?
Absolutely no obligation. Multiple offers is a very common situation and they may have already had other full asking price offers. Or there may already be an offer over asking and your offer, or broker is giving everyone a best and final offer chance. And an ad is not a binding contract either. It is clear you need an agent or attorney as you are attempting this on your own without the skills to do so.