Rarely, if ever, does an IT department have what might be called an Engineering or a Projects department.
There are normally more than enough break-fix type tickets from EVERY department to cover all the permanent staff. Plus there is stuff like compliance, routine maintenance, etc that outsiders never see but eat away so much time. And then various managers (1) cut the IT budgets so tools and resources are taken away while (2) complaining that IT isn't agile and responsive enough.
Speak to the IT manager. Pay for dedicated resources within the IT department. I'm sure a competent IT manager would be ready to oblige. Remember your cheque book.
(All spelling mistakes due to too small a monitor running on too few coffees today).