This is the 331st most frequent Japanese word.
付け
"付け" (tsuke) means "attachment," "addition," or "application," often referring to attaching, adding, or applying something.
In this sentence, '付け' is used as a noun meaning a label or tag that is attached to something.
目標に付けをつける必要があります。
It's necessary to attach a label to the objective.
Here, '付け' is used metaphorically to emphasize maintaining or sticking to a routine as if 'attaching' oneself to it.
毎日決めた日課を続けて付けてください。
Please keep to the daily routine and maintain it.
'付け' within 'についている' relates to the verb '付く,' meaning to adhere or stick to, describing something attached to or on an object.