A method for casting a component, the method comprising: identifying a location of the unitary core-shell mold that is susceptible to a stress concentration by forecasting a stress magnitude approaching a load limit of a shell wall or a core wall during casting; receiving data indicative of the location of the unitary core-shell mold that is susceptible to the stress concentration when the unitary core-shell mold is employed to cast the component; forming, via an additive manufacturing process, the unitary core-shell mold defining a casting cavity, the unitary core-shell mold comprising the shell wall defining an outer component shape and the core wall positioned inward of the shell wall and defining an inner component shape, wherein the shell wall or the core wall defines a reinforcement recess adjacent to the location that is susceptible to the stress concentration; following the forming of the unitary core-shell mold, positioning a support member within the reinforcement recess and adjacent with the location, wherein positioning the support member within the reinforcement recess further comprises securing the support member within the reinforcement recess, wherein securing the support member within the reinforcement recess further comprises: engaging a first retention feature in the reinforcement recess with a second retention feature in the support member, wherein the first retention feature includes a shape of the reinforcement recess, wherein the reinforcement recess is formed with a curve that facilitates the retention of the support member and wherein the second retention feature includes a shape of the support member, wherein the support member is formed with a curve that corresponds to the curve of the reinforcement recess; and casting the component within the casting cavity. identifying a location of the unitary core-shell mold that is susceptible to a stress concentration by forecasting a stress magnitude approaching a load limit of a shell wall or a core wall during casting; receiving data indicative of the location of the unitary core-shell mold that is susceptible to the stress concentration when the unitary core-shell mold is employed to cast the component; forming, via an additive manufacturing process, the unitary core-shell mold defining a casting cavity, the unitary core-shell mold comprising the shell wall defining an outer component shape and the core wall positioned inward of the shell wall and defining an inner component shape, wherein the shell wall or the core wall defines a reinforcement recess adjacent to the location that is susceptible to the stress concentration; following the forming of the unitary core-shell mold, positioning a support member within the reinforcement recess and adjacent with the location, wherein positioning the support member within the reinforcement recess further comprises securing the support member within the reinforcement recess, wherein securing the support member within the reinforcement recess further comprises: engaging a first retention feature in the reinforcement recess with a second retention feature in the support member, wherein the first retention feature includes a shape of the reinforcement recess, wherein the reinforcement recess is formed with a curve that facilitates the retention of the support member and wherein the second retention feature includes a shape of the support member, wherein the support member is formed with a curve that corresponds to the curve of the reinforcement recess; and casting the component within the casting cavity. engaging a first retention feature in the reinforcement recess with a second retention feature in the support member, wherein the first retention feature includes a shape of the reinforcement recess, wherein the reinforcement recess is formed with a curve that facilitates the retention of the support member and wherein the second retention feature includes a shape of the support member, wherein the support member is formed with a curve that corresponds to the curve of the reinforcement recess; and casting the component within the casting cavity.