This dialogue is very nicely written, many phrases sound very poetic and add a loving but also conservative aura to the text.
The way they both talk in 3rd person about the other lets the whole dialogue sound and feel more like they are lovers from a long time ago, I like that a lot. It helps let you get immersed in the moment.
You left out any description of the background which I personally like a lot, this lets the reader imagine the scenario wildly, it doesn’t chain them to a certain occasion and background, it lets their imagination run wild.
You did a great job, keep going!