>And is building muscle possible with it even if I’m in a deficit?
To some extent yes. It’s kind of like riding a bike uphill, you can make some progress but it’s slow and inefficient.
If someone goes into strength training with little to no muscle mass, there’s some muscle the body is willing to put on almost regardless of circumstances, but eventually you hit a point where it’s functionally zero at all but the tiniest deficit or need to send better signals with a surplus, even a small one.
Note that doing all this is still important for muscle sparing and maintaining what we do have already. Which will functionally still increase strength as we lose weight, hold on to metabolically active muscle, lose more body fat percentage - not just weight, and such. Not losing muscle is just as good as gaining, when it comes to weight loss.
>I just want to know is this a good routine?
Obviously different body types and such, but it worked really well for me. I kept my rate of loss around 1% bodyweight a week, kept protein between .7-1g per pound, and I started with a simple bodyweight routine every other day that eventually became a full dumbbell PPL.
Best of luck getting leaner and stronger! 💪