IWTL Swimming (29-Year-Old Trying to Learn to Swim)

So as the title says, I am a 29-year-old male trying to learn swimming for the first time in my life. I started taking swim lessons with a local swim school 3 months ago. In about 8 lessons, I was taught to do front float, back floats, front and back glides, and flutter kicks. I was also practicing with a friend at a local aquatics center while being cautious about safety, of course. I was trying to make sure I practiced once or twice per week along with my lessons. After that first set of lessons, I took another set of 6 lessons at my local YMCA where, after evaluating my front and back floats and the switching between floats and glides, the instructor started focusing on my kicks to get me into the front crawl—since that is what I mentioned to him I wanted to learn (or learn as much as these lessons would allow me to grasp).

I was trying to work out my issues myself by practicing, watching videos on YouTube, doing the dryland drills, and of course spending as much time as I can practicing in the water. I have to admit, out of curiosity, I was also trying to bring in the arm movement (for the front crawl) when I was practicing myself, which made me feel like I was doing better than I would during the lessons. The lessons would mostly involve me trying to listen to my instructor, who was telling me to work on my flutter kicks—which I do appreciate, as I understand my kicks are probably not close to being perfect. I would easily get tired since, for most parts of the lesson, I would be asked to "kick, kick, kick.".

I guess what I am trying to understand here is whether I should sign up for 10 more lessons in the fall session or keep practicing on my own with what I have been taught, and then later take a few lessons to find my errors, mistakes, and areas for improvement. I really want to improve, but I am not sure what the best approach would be from here.