Countertop dishwasher installation via pull-out tap or water pump

I’m looking for a plumber to install our Cookology CTTD6SL countertop dishwasher. It must sit on the worktop beside the sink as it won’t fit inside the cupboard. We’re renting, so we cannot drill holes, replace the tap or make permanent alterations. Our preferred option is connecting it directly to our pull-out kitchen mixer tap, which has a detachable dual-function spray head and flexible hose. Standard dishwasher tap adaptors haven’t been suitable. Alternatively, we’d consider a pump-fed system using a water container. We already have a Kocusu 12V self-priming diaphragm pump (3.0 GPM, 50 PSI, 4.5A), plus the original dishwasher hoses and pump fittings. We’d like the drainage hose to empty into the sink. We need someone to assess both options, recommend a safe solution, supply the correct fittings and complete the installation. We haven’t purchased additional parts as we’re unsure what’s compatible. Please advise on availability and approximate costs.