Fencing on the western section of the landmark was removed on Friday, with work expected to be completed by the end of October.
The frontrunner to be the next leader of Glasgow City Council said it needed more help to tackle the issue.
The Accounts Commission warns "robust oversight" is needed to tackle a £110m budget gap spanning the next two financial years.
Bobby Lee Smith, from East Kilbride, oversaw applications for a project that gave electronic devices to people on low incomes during the pandemic.
The well-loved Glasgow museum has been closed since 2024 for a major refurbishment.
The fire happened on Oban Drive at about 11:30 and forced the refuse vehicle to dump its rubbish on the street.
The role is aimed at boosting the hospitality industry which has seen a decline since the Covid pandemic.
Pay for most non-teaching staff is set to increase - but others could lose out on more than £10,000 a year.
The rules mean residents cannot set off fireworks anywhere in the zones, including in private property such as gardens, or risk jail or a fine.
