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Gustav
On a good day, you can usually get that RD to manage an 11-32 cassette, which gets you to a total of 17% lower bottom gear if you also change the inner ring to a 34. You'll need to get a new, longer, chain but you were going to replace the chain anyway to avoid running old chain on new sprockets.
You'll also be pretty close to the point where your gain ratio drops below 2 and you might as well walk.