At this size the design problem is operational
Scaleups rarely hire an agency because the design is bad. They hire one because the design function cannot keep up, and those need different answers.
Consistency across teams
Three squads shipping in parallel will produce three interpretations of the same pattern unless something prevents it. The fix is a governed system with an owner, not a redesign. Budget six months minimum, and budget for adoption separately, because a system nobody uses is the most expensive artefact in software.
Throughput
The backlog grows faster than hiring closes it, and every quarter you defer, design debt compounds into engineering debt. Subscription and dedicated-team models solve this better than projects.
Coherence between brand and product
By this stage marketing, product and sales have each accumulated their own visual language. Nobody notices internally and every enterprise buyer notices immediately.
Complexity nobody owns
The permission model, the admin surface, the reporting builder. These are always somebody's second priority and they are where retention leaks at scale.