@KasmirKhaan well technically i also learnt commutative algebra first so im not sure what i would do instead :p but in hindsight it wouldve been nice to see a lot of examples in algebraic geometry / number theory on the way - which might not show up if you're just reading e.g. atiyah macdonald (which is a definite read to learn commutative algebra though)
(technically vakil's text on ag introduces the necessary commutative algebra on the way so maybe that's a way- but ive never met a person who learnt commutative algebra that way)

i don't think there's a problem with that ? i dont really know much about alg groups (hopefully i'll learn them next year) but i'd imagine in the classical setting (alg closed/char 0) you don't strictly need schemes (althuogh knowing schemes makes everything better)

i vaguely rmb the scheme structure coming to play in char p though yes

somewhat tangential: one thing i find neat about alg groups which you might know already is to view them as group-valued functors (via functor of points) - apriori when you talk about group schemes its kind of hard (at least to me) to use its defn as a grou…

yeah! one reason why i really like this point of view because e.g. the scheme $\mathrm{Spec}k[x_1,\ldots,x_m]/(f_1,\ldots,f_n)$ is really the same thing as the functor from $k$-algebras to sets sending each $k$-algebra $A$ to the set of $m-$tuples of points $a$ in $A$ which satisfies $f_i(a) = 0$ for all $i$ - so a scheme is really the zero set of a bunch of polynomials (but where you allow yourself to vary your where your points live in) - which looks more innocent than the locally ringed space definition