Kitchen sink rim is higher than counter top, how can we wipe the water? Is there any rubber ramp?

whenever there’s water or crumbs on the counter we can’t just wipe it to the sink because its rim is on top of the counter. What can we do? (we rent, can’t replace)
I can’t use dish drainer for everything. I use the counter top to cut vegetables, or bread etc. There’s always stuff there: water, crumbs etc. When I had under-mount sink I just wiped it all into the sink. Now I can’t.

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