Assuming the role simply means taking on a particular role, and there are several synonyms that can be used in place of this phrase. One such word is 'embrace', which signifies taking on something fully and with enthusiasm. Another common synonym is 'undertake', which highlights the weight of responsibility that comes with assuming a role. 'Adopt' is another term that can be used, which suggests taking on a role as part of one's own identity. Alternatives to "assume the role" might include "take on the role," "step into the position," "accept the responsibility," or "assume the duties." Whatever the phrase used, it should be clear that the person in question is taking an active and intentional approach to their new role.