How many unique gametes could be produced through independent assortment with the genotype AABBCcDDEe?

32 unique gametes

Explanation:

AaBbCcDdEe = 2 × 2 × 2 × 2 × 2 = 32

There's 2 for each pair of heterozygous genes.

if someone had the list of traits you provided

the oldest known insects are believed to live around 400 millions ago as suggested by the fossil records.   some plants having woody stems also evolved during this time.

after the evolution of insects the first four legged species or the tetrapods evolved in shallow freshwater habitats from the intermediate species approximately 397 million years ago. the tetrapods went on conquering the land giving rise to amphibians, reptiles, mammals and birds.

the major split in tetrapods first occurred 340 million years ago branching off from amphibians.

363 million years ago when the carboniferous period began the insects started roaming on land and taking flights, following which the four limbed tetrapods adapted in the terrestrial habitat.