Budget Strategy for Path of exile currency Leveling and Currency Farming
An effective league start option for solo Atlas completion without map purchases:

Use Orbs of Horizon to fill out the Atlas by running uncompleted maps.

Upgrade map rarity to increase magic or rare drops for sustainable map pools.

Complete all normal and cheap unique maps, invitations, and boss encounters for rapid Atlas point accumulation.

Additional Tips:
Regularly check Kirac's shop for uncompleted maps.

Utilize Orb of Horizon to change map tiers to desired ones.

Prioritize completing unique maps encountered through Kirac missions.

Connect maps to Path of exile currency for sale increase chances of dropping uncompleted ones.