What Mathematics Do You Actually Need?
Essential, sooner rather than later: complex numbers, vectors and matrices, inner products, and basic probability. This is genuinely most of what you need to understand a single qubit and simple circuits. Useful once you go further: Dirac (bra-ket) notation, which is mostly a compact way of writing what you already know, tensor products (for reasoning about multiple qubits together), and eigenvalues/eigenvectors (for understanding measurement more deeply).
The common mistake is treating this list as a wall to clear before starting. It doesn't have to be sequential: the math is more intuitive when it's learned alongside the physics it's describing, not as an abstract prerequisite months beforehand.
A dedicated linear-algebra module covering exactly this list is planned but not published yet. Until it is, pair a standard linear algebra resource with Quantum States rather than finishing one before starting the other.