I've been grinding for Tangled Web armor for weeks now because i just thought it looks cool. I've gotten the boots of the set only once back when forsaken just came out. i went on a long hiatus and returned to the game recently and i must've been through hundreds of legendary engrams, classic, umbral and prime alike. i started out trying to get drops in the tangled shore at first but i got some really old probably bad intel that it can drop anywhere? I hoped i just had horrible luck but I've found a Reddit post very recently of someone with a similar problem, but I've been banned from Reddit many years ago so i cant interact. besides, this is probably a much better place to post it anyways. i have dropped the link in this thing.
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Sorry this is so late, and may not be needed anymore. But yes, you can get it from slotting runes and doing menagerie :)