The phrase "as I eventually" is correct and usable in written English.
It can be used to indicate a conclusion or realization that occurred after some time or effort.
Example: "I struggled with the project for weeks, but as I eventually understood the requirements, my confidence grew."
Alternatives: "as I ultimately" or "as I finally".
I thought to myself, "what would she have said if I told her my given name is Seale?" We talked a bit and I realized that as my home station came and went, Olivera (as I eventually learned was her name) had not told me exactly where she lived.
That particular video is a parody, as I eventually realized, but it points to one of the pitfalls of video instruction.
As I eventually came to realize, Daniel's thirst for vengeance and his hostility to rival clans are really not so far from our own habits of mind as we might like to think.
I settled into the local way of life fairly quickly, fully embracing the vibrant music scene, the regular and reliable public transport and the array of strange dialectical words such as 'cob' (which, as I eventually realised, had nothing to do with corn).
Or that just because this single publication said no, did not mean I couldn't take a writing class, or find a fellow writer to critique my story and improve it, as I eventually did at the wonderful Loft Literary Center in Minneapolis.
As I eventually dragged myself puffing and wheezing to the top, I was rewarded by... teeming rain and complete cloud cover, I decided against paying the entrance into the actual site and took the bus back down, more than a little bitter, to town, saving the full Macchu Picchu action for the following day with the rest of the group.
Eventually, as I finally realized that they were messing with me, a proud smile crept across my face.
When did that happen?" (as, I must admit, I eventually did).
Law Firm & Associates continued to assess penalties as well, so when I eventually got the debtor on the phone and quoted the kingly sum he now owed, they were likely to be stunned.
Finally, as much as it pains me to admit, I eventually posed as a Trump supporter, and I was either met with hostility or silence.
But in issuing her invitation to her mother, Ms. Hafner writes, "I was guided by a combination of love, protectiveness, and, as I would eventually come to see, magical thinking".
