As already indicated in this thread, sati indicates reflection, and in this case on a progressive contemplative purpose. This would resonate with the context of how the contemplative endeavor of sati is described in the Satipaṭṭhāna Sutta viz.
“…abides reflecting with intense endeavor and clear knowing…”
(“…viharati ātāpī sampajāno satimā…”)MN. 10.4 -
Also, at the end of each paṭṭhāna group (upaṭṭāna for the Anālayo wallahs) we read what is sometimes referred to as the refrain of insight, again indication of the progressive nature of the contemplative aim above; there is contemplative reflection (anupassati) of phenomena (dhammas) rising & falling, which renders the object readily evident (paccupaṭṭhitā), resulting is essential knowledge (ñāṇamattāya), and essential reflection of the object (patissatimattāya). All of this delineating a contemplative attitude toward cultivating knowledge. Anālayo describes this on [pg. 94] as a progression of awareness "At this stage, when sati has become well-established, whatever occurs at any sense door automatically becomes part of the contemplation.", or as U Pandita has referred to this as 'sati falling on whatever arises'.
“I say, beware of all enterprises that require new clothes, and not rather a new wearer of clothes.” – Henry David Thoreau, Walden, 1854
Secure your own mask before assisting others. – NORTHWEST AIRLINES (Pre-Flight Instruction)