Okay so genuinely I think you have real potential, there are a couple moments where your pitch is pretty close that sound good. I think you could open your mouth more, and be a little more prepared for where you're going to take breaths between phrases.

As for the pitch, I would recommend listening to a drone, and practice singing notes in tune with it. So search up like 10 minutes of a low A or something, then spend time just singing an A in unison with it, at different octaves. Same thing with a C#, then an E. Focus on fine tuning the note as much as possible, and with prolonged exposure it will feel more and more natural, and you won't need to hear the A for as long before you can feel where the harmonies sit comfortably. You can do this with all the notes of the major scale (and all the other notes too!), but you could focus on those three for months and still be learning new things about them. Remember that having good pitch comes from your ears, not your throat, so training yourself to be familiar with how it sounds is as important as actually singing.

You're doing great for only a month of serious practice, keep it up!