The winter lodge at the complex has been listed as a close contact exposure site for Wednesday and Thursday.

The entire complex has been listed as a casual contact site on Wednesday and Thursday.

A close contact exposure site was also listed at Ceylon Cut, a hairdressing salon in Phillip, on August 12 and the Bright Bees Childcare centre in Nicholls on August 16.

New casual contact exposure sites were also identified at banks, supermarkets, liquor shops, essential retailers and service stations.

Chief health officer Dr Kerryn Coleman said a positive case visited the Ainslie Village site on Quick Street on Wednesday and Thursday this week.

Some residents have already been tested and a response team would be on site to support the residents, she said.

"We now know that a confirmed case of COVID-19 has visited Ainslie Village while unknowingly infectious, and therefore Ainslie Village will be listed as an exposure location on our website later today," Dr Coleman said.

"Testing is being undertaken and several residents have already been tested.

"Our team, along with our non-community, non-government ... partners will remain on site to ensure that residents have access to any support they need."

It comes as the ACT recorded 13 new cases to 8pm on Saturday. All of the cases are linked to known outbreaks.

Eight were in quarantine for their entire infectious period, but five were infectious in the community.

Dr Coleman added she was particularly concerned about the development as the complex housed vulnerable people with higher levels of need.

"That's why as soon as we hear that there's a potential issue, we jump in with both feet, and we are there doing all we can very quickly," she said.

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It is the second social housing complex to be added to the list within a week after Condamine Court became a close contact exposure site last Monday.

The Northbourne Avenue complex is home to 70 people, including a cohort of elderly and vulnerable tenants.

Residents have complained the government has left them in the dark, warning of poor communication from health authorities.

Several drug and alcohol-dependent residents in quarantine at Condamine Court were also denied withdrawal support this week, after a clinician shortage left some without access.

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