My claim to be right is a result of my freedom to consciously contemplate the factors involved and drive my thought processes to reach a verifiable conclusion.
But it isn't verifiable at all - at least you have provided not one hint of an iota of either reasoning or evidence with which to do so. Your conclusion seems to be based on nothing but incredulity, blind faith, and an assortment of other bad reasoning (aka fallacies).
I concede that my conclusion may well be wrong...
Why then do you so often asserted the opposite? You keep on telling us that we are more than can possibly be explained by the material world and that nothing would convince you that your god was not real.
However your claim to be right will (using your deterministic logic) just be an inevitable consequence of chains of cause and effect events, each of which will have been entirely defined by previous events beyond your conscious control.
But it's those events that actually produce "conscious control" (to the extent it means anything at all). Do some honest introspection. You do not consciously choose the next thought that enters your conscious mind (that would be an infinite regress), you cannot choose to think of something that just doesn't occur to you at the time. You cannot choose to think like somebody else. You cannot be "free" from being you and having your mind. The only actual difference is that I'm saying that you and me are the way we are because of reasons (nature, nurture, and experience) and you are appealing to self-contradictory magic and a totally incoherent idea of "freedom".
Please explain how the concept of reaching a consciously perceived correct conclusion can occur within such a scenario.
Why should it not? In what way would being able to have done differently, without randomness (which is inherently self-contradictory anyway) help with reaching a "consciously perceived correct conclusion"? You keep on trying to conflate human cognitive abilities with your nonsensical conception of "freedom", yet you have provided no hint as to how the two are logically connected.
Look, nobody is suggesting that we cannot consciously contemplate the world and draw conclusions, think and reason about things, and do all the other things humans obviously do. You have made no connection between that and what you insist is "freedom", yet when asked to defend your version of "freedom" you just switch to pointing out that we can do the things that nobody disputes we can do.
You need to connect the one to the other (with more than personal incredulity) and stop pretending they are the same thing.