You spent one month together, and then the rest of your relationship was long-distance, which tells me you don't truly know each other, or have a balanced, "real life" relationship . So much is hidden in long-distance correspondence (of all types) and one month spent together 'in person' is not enough to truly know anyone and know whether you are compatible.
You broke up ten months ago. There is a reason for that.
Now you want her back? Ask yourself why.
Are you truly in love with the complex, amazing, and flawed person she is, and do you think she is the right partner for you? Can you envision a concrete future with her? Do you know you'll get along in person? Or do you miss the dopamine rush of deep conversations, sexting, and being told you are loved by someone you can idealize because you've never been up close and personal with all their flaws, quirks, and habits? With a long-distance relationship you can fantasize about what life with the person will be like, instead of actually living it day-to-day. Your desire to repair the "relationship" is probably based on a romanticized perception of the relationship. Maybe you realized the intensity and loyalty of an INFJ's love is difficult to find in others, and that is what you miss, but let's not forget that she is also in love with a fantasy of what the two of you could be in person, and not the reality of a daily relationship.
If you do get back together I advise some face-to-face time STAT.
But honestly... move on, and find someone you can build a real relationship with in person.
