I'd take the three days. Part time work advertised externally can be hard to come by and often (in govt) reserved for existing employees returning from mat leave. So it's not the exact hours you were after, but pretty close. I'd recommend establishing yourself in the workplace first, work hard and impress the right people, then ask for a reduction in hours. Also keep an eye out for other part time opportunities eg colleagues returning to work, potential job share arrangements, etc.
I would accept the 3 days. That would be a good work/life balance. You could always negotiate later, if you like the job.
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