BF (21M) freaked out at me over getting my (22F) tattoo, how do I go about this?

Edit: I am reading comments, it's a lot to digest. I appreciate any and all feedback, thank you everyone.
EDIT 2: This post is getting a lil bigger and I really need to emphasize that I'm not deliberately ignoring people. I'm taking it all in and occasionally responding to stuff that I think is easy to tackle. Massive apologies.
EDIT 3: Am I annoying yet? Clarification though. 1. I know I could've taken a break. I only had a car charger with me as I was expecting a 4 hr appointment. So I couldn't charge my phone unless I went out to my car (across a massive parking lot) so really, neither of us took a break bc there was no reason. 2. Tattoo tax is only through PM (this is a throwaway account after all)
I hope the title isn't misleading, I've really no other way to put it. Sorry for formatting as I'm on mobile! This is LONG so sorry, tldr at the bottom.
So, I need to put some details in here before getting down to the nitty gritty.
This tattoo appointment was made a day prior, VERY short notice. BUT I've been following this artist and their work for a very long time now. I also have friends that have gotten work done by them. It is a very reputable and clean shop, and everyone working there has been in the business for years.
Now, as I said above I love this artists work. So I gave them some things I liked and pretty much told them to go wild. I had much more confidence in them making something beautiful than I did myself to piece together something I thought I might like. I asked the artist for a time/price guesstimate, and they said it would be probably a palm sized tattoo and the appointment would be about 4 - 5 hours. Okay! I tell (let's call him Max) and he has 0 quarrels.
The next day comes and I show up to the appointment. (I have MASSIVELY bad social anxiety, and it's really hard for me to do things alone so this was a major accomplishment for me already)
Everything goes so smoothly. The artist is an absolute sweetheart, and they show me a few different designs to pick from. (Frankly they were all freaking stunning) and we get everything situated. Now as we're checking out the design, they print a bigger one (maybe double the size of the original) and both of us decide to go with the bigger size as it looks better.
SO, the appointment starts. I got there at 1pm, and we started the actual tattoo at like 2ish. I'm talking to Max the entire time. Sending pictures of progress, etc etc. Around 6 my phone is about to die and I make sure to update everyone that I'll message when I'm out. Now, Max has been anxious the entire time I'm out. Anytime I go out alone he just assumes something terrible is going to happen to me (?)
Anyway, to reestablish- ?I told Max that the tattoo was double the size of the original (I would think that would imply twice as long of an appointment) ?I've been sending progress pictures for hours. (At that point we had just finished the outline and colored in some minor things) ?I told him I had a car charger and would message when I got out
The actual tattoo shop closed at 8pm, but I think most (if not all) businesses won't kick someone out at closing if they're in the middle of something. Anyway, I ended up getting out a little later than 10.
I get in my car and charge my phone, and immediately I'm bombarded with messages. Even after saying my phone died, he messaged me every half hour saying he was nervous. When 8pm hit he started freaking out because "on the website it says they close at 8" he called his brother freaking out saying he was going to drive to the shop if I didn't answer at 11. All of this insane stuff. I immediately message him and he calls me yelling at me. "What the ****?" Stuttering and stammering, word vomiting over the phone. So I tell him "I need to listen to my GPS to get home we can talk about this in a few" and hang up (I just got a massive tattoo in one sitting, I am ****ing exhausted)
Now, as I'm driving he messages me FIFTY times, no exaggeration. Inbetween saying "you can't be mad at me" and calling me inconsiderate saying I could have charged my phone, I just chose not to. I get home and explain "so you expected me to get up, mid appointment, to go outside across the parking lot with an open tattoo to crawl in my car to sit and charge my phone??? We didn't take a single break the entire appointment??"
And this escalates into a fight where he gets in his car and leaves. After a 9 hour tattoo appointment, I was hoping for maybe SOME reassurance or "do you need anything?" not screaming and yelling.
I do understand why he was worried, but to absolutely have a meltdown over it is over the top imo? Neither the artist or I had an exact finish time, but I gave him so much info to work with. Sizing, coloring, hourly updates, you name it. It was extremely unrealistic to expect me to stop the appointment to sit in my car to charge my phone while getting worked on. (Frankly, as a 22yr old that would've been embarrassing to explain as well) if he didn't freak out, I maybe would have just apologized and called it a night. And the website had a number posted to call as well. Why not call the office if you're THAT worried? So many things that I just don't understand really. I have no idea what to do with this situation and he won't back down.
I want to be understanding but I just can't get over his reaction. I used to struggle with self harm/suicidal tendencies and I've gotten tattoos before and the two prior ones made me extremely anxious because it was a similar feeling. He was aware of this. It was such a big step for me and I really feel as though he ruined the night for me. I wanted to be able to look back on it like it was an accomplishment and now it's another thing to be sad about.
TLDR; I went to a tattoo appointment and my appointment went longer than expected. I gave my bf a lot of information to work with regarding times and my phone died after I clarified it would. He had an absolute meltdown because the appointment went two hours past closing. It's been a fight for almost a week now and I feel like he over reacted and is blowing the situation up.


Source.