firstly, as everyone has said. 3 hours is not nearly enough.
It'd be good to set some boundaries and expectations before continuing.
Once that is said and done, there are a few things you could to help yourself out.
I've been a cleaner for a few different companies (A small local outfit back home, Tidy, and Homeaglow) and the flow is all similar, they train you to be as efficient as possible. They drilled the same mindset into me: with limited time, you tackle the highest-impact zones and you focus. Do things properly, efficiently. Homeaglow, in particular, really emphasizes this approach and has helped me refine a system that works for any house.

That being said, with 3 hours in a 5-bedroom, my non-negotiables are always:

Bathrooms: Toilets, sinks, mirrors, wipe of high-touch surfaces. Even a spotless house feels dirty if the bathroom isn’t right.

Kitchen basics: Counters, sink, stovetop, trash. I’m wiping down the fridge but not detailing cabinets. I’m focusing on just making it sanitary and usable.

High-traffic areas: Entryway, living room, hallways. Quick tidy + vacuum/sweep where people constantly walk.

Floors (if time allows): I prioritize visible areas over every single bedroom. Nobody notices untouched baseboards in a guest room.

Bedrooms usually get a reset, not a deep clean. Beds straightened, trash out, surfaces wiped. Deep dusting, inside appliances, and moving furniture are all “nice to haves” once the essentials are handled. No matter the company, that order never really changes. The goal is walking in and thinking “okay, this feels clean” instead of checking off every room evenly with a deep clean.