I'm servicing an old 5-speed freewheel bike and want to service the bearings. first time for me servicing a freewheel (NOT FREEHUB!)

I removed NDS cone but the axle doesn't come out. it looks like i have to remove the freewheel to get the axle out (to ultimately remove the bearings). But i don't have a freewheel removal tool (only have free-hub tool) and don't want to buy one since i hope to work on more modern bikes.

Is there a different way to remove the freewheel? I saw some destructive videos, but I need to keep the freewheel intact. Or is there a way to remove the axle and service the cup/cones on drive side?

This is a free bike (quite rusty) and I plan to restore and sell for cheap or give away fro free. so don't want to spend $ on tools and material. On the other hand i don't feel good not cleaning and lubing the bearings. NDS ball bearings are dirty and dry, so a cleaning and lubing is in order.

Sorry if this sounds like a stupid question. I didn't want to use force, and all Google gave me are freehub videos etc. because people that show a video of freehub service allegedly don't know the difference and call it freewheel