How do you respond to the logical problem of the trinity? It's the only thing keeping me from becoming a Christian.

Context: I am an Egyptian Ashari Muslim. Was born in a Muslim country, Muslim family etc. I was exposed to extremism early on during the Arab spring because I attended an Islamic school that preached (and included members of) the Muslim Brotherhood and it's values. It didn't help that the period that followed was the one during which ISIS came to the stage and I grew up watching their crimes against my will (on the internet mainly, I've never been exposed to them irl). The end result was that for a long time I did not believe in Islam. And up until the end of 2021, I was rlly only Muslim by name, until I decided to 'return to God' and become a practicing Muslim once more. Throughout this all I had always been drawn to Christianity, for no apparent reason. I decided to do my research and through communication with tons of people over social media, watching videos etc. But the one topic that's keeping me from conversion and (secret) baptism is the logical problem of the Trinity.

tldr of the logical problem of the trinity:

There is only one God (monotheism)

  1. There are three persons that are God (Father, son, and spirit)
  2. Each of these persons are not each other.

To be a Trinitarian, you must affirm all three (supposedly). Yet this is an inconsistent triad, meaning all three cannot be held simultaneously. One of the premises must go, or they must be explained in a way that makes them consistent.

The obvious answers to these questions fall outside of the doctrine of the Trinity. Modalism, subordinationism, tritheism, partialism, etc. Or you must adopt very bad metaphysics to explain the problem. The logical problem is simply, if 3 things are all God, they must be parts of God (partialism). If each of the three things are "God" then each must be its own instantiation of God, thus making 3 gods (tritheism). If each is fully God, but there's only one God, then each must just be the same thing (modalism). And if only one is God, and the others are God by proxy, then there's one God in one way but 2 lesser divine beings in other, which gives you one God and three separate persons, but not all three are fully God (subordinationism). 

Please excuse my ignorance.
Please pray for me.