North Somerset Councillors have voted to become a part of the West of England Combined Authority.
Work is under way on a new bridge after it was demolished over Christmas.
Group leaders have hit back at criticism that the surface could get too hot to walk on.
More than half of the responders to a consultation backed a fourth council joining Weca.
The Grade II-listed pier has been closed for more than 30 years due to safety concerns.
North Somerset Council partners with a community interest company to recycle wood from the pier.
The owner of a pub-bistro says it has had to cut its hours due to fewer lunchtime customers.
The Carlton Street car park in Weston-super-Mare is partially closed because of construction issues.
People in North Somerset are due to pay 8.99% more council tax from April.
