conjugatedwould
Conjugatedwould is not a standard term in English grammar; it is sometimes used informally to refer to the forms and uses of the auxiliary verb would when it combines with a main verb. In proper linguistic discussion, would is described as a modal auxiliary rather than a fully conjugating verb, and its behavior is defined by its function in clauses rather than by person or number.
Would does not change for person or number, so there is no will/wills or conjugation across subjects.
Common uses include conditional statements (If I won, I would buy a car), polite requests (Would you