Can I re-enter Japan on a valid Engineer/Humanities visa and re-entry permit to job hunt again?

I previously lived and worked in Japan on an Engineer/Humanities visa, which is still valid for about another year. I left Japan due to some personal circumstances and completed most of the necessary exit procedures, but I haven’t applied for the lump-sum pension tax refund yet.

At the time of leaving, I marked a 1-year re-entry permit, which is valid until June 2026.

My question is:
Can I re-enter Japan using this re-entry permit and my still-valid visa, and then look for a job and resume working again?

Has anyone been in a similar situation or knows how this works?

by Waste_Metal5424