First, congrats on your weight loss!
Second, at your weight, it'd be near impossible to gain muscle and lose fat at the same time. You are better off losing some fat first (although you're at a healthy weight) then gaining muscle, losing some fat again, etc. Basically cycling those goals.
If you want to gain muscle, you've to eat more than you burn. You've to gain weight in other words, and some of it is gonna be muscle some of it is gonna be water/other tissue and some of it, fat. Inevitably.
You want to minimise fat gain and maximise muscle gain. Therefore, you must make sure you don't eat a big surplus and gain lots of weight (cuz most of it is gonna be water/fat - not muscle) -- just enough to increase your total body weight. This you must do empirically. Weigh yourself, ideally measure your BF so you know your body composition and then start counting calories. Find out at how many calories you maintain your current weight, you said you already do HIIT and resistance. You don't need HIIT to gain muscle but it's useful if you wanna eat a bit more and still not gain fat. Then add 500kcal a day worth of food.
If you want to lose weight, you do the opposite, you either subtract 500kcal worth of food per day or you add daily cardiovascular exercise with which you'll burn 500kcal. I'd keep everything else the same, maybe up the protein a little from 1g per pound to 1,5g for example.
Despite what people say, if your protein requirements are met, you will gain muscle or lose fat if you're in a caloric surplus or deficit. That's all you need to do, there are no magic solutions or diets that ''work'' better than others.
TLDR; Eat fewer calories than your maintenance to lose fat, keep protein at 1-1,5g per pound of body weight (you can substitute eating less with more HIIT/cardio). Eat more calories than your maintenance (or ditch the cardio depending on how much of it you're doing), keep protein at 1-1,5g as before and lift weights to gain muscle.