In practice, if you use it internally, your teammates already have access to the code. Requirement fulfilled.
Your databases run on a private net typically, so your customers can't connect to PgDog directly: AGPL doesn't apply. That's internal use.
If you're running a DB cloud and using PgDog as a proxy, anyone who connects to it, i.e. your customers can ask for the code to PgDog. If you didn't modify it, just point them to my repo. Requirement fulfilled.
If you did modify it, e.g. added some cool feature or fixed a bug, you'll have to show your clients what you did. That's real open source. That's how GPL was supposed to work. Code is free, and so is knowledge and our ability as humans (and now machines, lol!) to learn from it. GPL stopped working because we stopped shipping software on CDs. AGPL is it's modern version.
I love open source and that's why I'm using AGPL. GPL and FSF is the reason why I can do what I do today: I learned from open code written by thousands of brilliant people who chose to share that with the world. Now it's my turn to give back.