I don't know the teitsh to אתכפיא ואתהפכא and I don't know what ונה"ב stands for so could be I'm missing out on a critical part of what's written.
I still want to follow up on what you're saying. Why does Hashem have a "tayva"? Doesn't a tayva for something mean that you're in a way bound to that tayva. After all we have such a concept when it comes to people's tayvos. Who's considered bnei chorin, us or the goyim?
Does it make sense to say that Hashem is bound by anything?
Besides for the concept of bondage. Doesn't the concept of a tayva mean you're missing something. And after you fulfill your tayva you get into a higher and happier state of mind.
If so how can you say such a concept about Hashem? Is He missing anything?
(not to take away from the fun everyone is having but...)
yes, you missed the entire point by not knowing the terms iskafya ishapcha נה"ב = nefesh habihamis and what taivos are, (i am sure you know what they are, but chassidus has a total different understanding on how these things effect our lives and how we work with them to fulfill our mission in oilam hazeh).
every person (including umois haolam) are born with a Nefesh Habihamis, it is the materialistic soul that just wants what is good for the physical body of the person. a Jew in addition to the Nefesh Habihamis is also born with a Nefesh Elokis that wants the best for the spiritual being of the person (and this is where the battle begins... and causes for 'taivos')
Now what is a taiveh?
A taiveh is loosely translated as a wanting or "lust" in other words an urge, something is driving you to want whatever the taiveh may be (for our conversation it is always for something that you enjoy only in oilam hazeh). now the question is what is the urge, is it something holy does it help you serve Hashem, or is it coming from somewhere else, now in chassidus usually it refers to something that is lo lahashem heimah, may it be something that is in fact an issur or it may be a dvar reshus but it is not intended to help you serve hashem, now if it is an issur then there is only one real way to deal with it and that method is called iskafya. iskafya is when the yetzer harah has a desire or lust and urges to do something asher lo lahashem and you 'push it away with two hands' and 'force' the yetzer harah to follow the yetzer hatov, (iskafya is from the word koifeh) this is done through moiach shalit al halev that every Jew has within him and just needs to bring it out (not for now to go into all the details on this concept). now obviously for people like me (and maybe you) it is not practical to always win the battle over the yetzer harah, so the question arises why? why bother even starting the battle? at some point i am going to loose the battle anyway! so why even bother trying? the answer to this is based off the zohar which says כד אתכפיא סטרא אחרא אסתלק יקרא דקודשא בריך הוא בכולהו עלמין that whenever someone serves hashem in a way of iskafya (and pushes away the yetzer harah) it causes a great nachas ruach above to which no other can compare, and causes that the kavod and glory of hashem to shine greater in all worlds and especially in our (lowest) world. So to answer your question, no we are not bound to our taivos, (or at least our goal in oilam hazeh is to struggle and battle and (hopefully) overcome them. this is the avoidah through iskafya which is the avoidah for people striving to be beinunim (and as the saying guess halivei beinuni - we wish on our selves to be considered a beinuni - also something that i wont elaborate on here).
Then there is ishapcha which is instead of 'pushing it away' (ideally you transform the yetzer hara into only wanting things that lahashem heimah) you transform your taiveh and use it to serve hashem better although this is generally the avoidah of tzadikim (since at the end there is no ra - evil in it). yet there are times when even a beinuni can serve hashem through this method (but im not goona get into it).
Not sure how free choice gets involved here, and I in no way intend to discuss it, but to answer simply (with no explanation to why) according to chassidus only Bnei Yisroel are truly bnei choirn (how that works with hashem being hamadoh vhayoideiah is also not for now).
your next question does it make sense to say that Hashem is bound by anything? I will answer with one line in quoted and elaborated in chassidus from the Avodas Hakodesh "כמו שיש לו כח בבלתי בעל גבול כך יש לו כח בגבול. שאם תאמר שיש לו כח בבלתי בעל גבול ואין לו כח בגבול, אתה מחסר שלימותו. ואין סוף הוא שלימותא דכולא. there are sevreal mamorim that explain this concept (but once again i am not going to elaborate here).
your last question how can we say Hashem had a taiveh (the fact that Hashem has this taiveh is a medrash which is Torah of which we say that it is a toiras emes so we can't question that). It is impossible for us to understand why Hashem has such a taiveh, for we are bound by our own intellect and can not understand anything that is higher then us and our low world especially something that is not limited to us our the way we understand things.
Anyhow all the above concepts are explained in length in chassidus and will take a lifetime to understand (or at least to understand that you will never understand properly) Hashems ways.