Add the option on work types to enable for Projects and Tickets, so only specific types are visible to Project time entries and tickets.
Example:
Onsite Support (Tickets = Enabled; Projects = Disabled)
Remote Support (Tickets = Enabled; Projects = Disabled)
Network Engineer (Tickets = Enabled; Projects = Enabled)
M365 Engineer (Tickets = Enabled; Projects = Enabled)
Tickets would see all 4 work types for time entries.
Project time entries would only see Network Engineer and M365 Engineer.