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In the morning the council passed a further motion to accept minor adjustments to the terms of reference and accept the two appointees.
Eight councillors voted for the motion, three abstained and one voted against it.
In the afternoon, Ngai Tahu representatives Edward Ellison and Tahu Potiki sat on the council's policy committee.
After a lengthy debate last month, councillors voted seven to three to approach local runaka to appoint two representatives on its policy committee, joining 12 elected councillors.
In the council meeting yesterday morning Cr Michael Laws continued his opposition to the idea, saying he was voting against the motion "very strongly''.
He questioned the timing, as they would only sit on two more meetings this year.
The newly elected council after October would have to re-vote for the motion.
Cr Graeme Bell said the iwi representatives should run for election in October.
Cr Ella Lawton said it bought her "great sadness'' as a governor to be moving on with the motion without having the council having "thought through the options'' for iwi communication.
Council chairman Stephen Woodhead said he was initially not sure it was possible to get the iwi representatives at the table so soon, but the "stars aligned''. The idea had been passed, so it was not time to rehash the argument.
"Let's get on with it. I'm quite excited about it,'' Cr Bryan Scott said.
Cr Gretchen Robertson said the council needed to be effective, honest and open. Iwi seats were a "very useful'' in iwi relations. The representatives would bring "important skills'' to help the council.
Cr Michael Deaker said Cr Laws had "said it all before'' and was doing so "purely for the benefit of the media''.
At the policy meeting later that day Mr Potiki said he thanked the council for the opportunity and the "vigour of the debate thus far''.
Mr Ellison said after the policy meeting he understood better some of the council's challenges.