At least during the Raising Ceremony another AS weaves the flow...

New Spring
Just Before Dawn

But there was no time for thinking of how she should have known Siuan was up to something when she gave in so easily. The glow of saidar surrounded Tamra, and she touched the Oath Rod with a thin flow of Spirit.

Moiraine closed her hands around the Rod. It felt like glass, only somehow smoother. "Under the Light and by my hope of salvation and rebirth, I vow that I will speak no word that is not true."

In contrast however,

TGS
Sealed to the Flam

Egwene wove Spirit into the Rod, then spoke in a clear voice. "I vow that I will speak no word that is not true." She felt the oath fall over her like a physical thing, her skin growing tighter, prickling. It was easy to ignore; the pain was nothing compared with what she had been through. "I vow that I will make no weapon for one man to kill another. I vow that I will never use the One Power as a weapon except against Darkfriends and Shadowspawn, or in the last extreme of defending my life or that of my Warder or of another sister."

and later in the same chapter


Romanda took the Oath Rod, and did as instructed, releasing herself from the oaths. The process was obviously painful, but she held herself to a controlled, hissing intake of breath. The others watched carefully for a trick, but Romanda was straightforward in reswearing. She handed the rod back to Egwene. "I am not a Darkfriend," she said. "And I never have been."

It doesn't say outright that Romanda wove the flow, but it seems to be implied ... also, Romanda is nearly 300 years old and just retook the Oaths without dropping dead so presumably Mesaana wouldn't have that problem