From my point of view, absolutely doable. The "small" equity is probably honestly saved rather than the 80% of home builders who only contribute equity from parents/grandparents into the financing. If you have saved that together last year, and you lacked nothing, then jalla!
Saving more only helps to prove something to the bank. The money then flows directly into the price increase in the same period.
But: before you get too excited. Wait for the bank’s house appraisal! From your description, the house is in top condition. However, if the bank only appraises the house at 220k, the financing could fall through with such low equity. Banks pay extreme attention to the location. So if the house is in an area with a relatively low standard land value, it could become tight. For loan amounts under 400k, a simplified valuation takes place. No idea what all is included in the appraisal.