In what stage of an algae or fungi life cycle are they able to reproduce spores?

The stage is the Saprophyte.

Explanation:

Asexual replication is specific creation of descendants outwardly the organization of cells either nuclear material. Several little algae replicate asexually with average cell group or by fragmentation, whereas greater algae generate by spores. Any red algae offer mono-spores that move carried by liquid flows and upon germination generate a unique organism. Any green algae produce non-motile spores called aplano-spores, while others present zoo-spores, which require actual cell walls including bear one or further flagella.