Okay, this is not the first time I find myself hating this Forced ability... But only playing 2 turns (with a Overzealous and a Monster weakness) ? This has gone too far !!!

Here are some solutions to balance a little bit this Intrigue (more particularly for 3-4 players as it just takes even more actions from you then) :

• Just don't put a doom (easy, but efficient, probably too efficient though).
• Add a "max once per round" to the doom-part of the effect (elegant, it assures you at least 4 rounds and probably more like 5-6).
• Add a doom each time but discard the Monster instead of putting it aside (still oppressive but you don't get doubly punished when the Act advance...).
• Only take "non-weakness Monsters enemies" into accounts, or "Spectral enemies" if you prefer (you don't need to trigger it more often...).

My preference would be :
Forced - When you draw a non-weakness Monster enemy: Instead of spawning it, set it aside, out of play. Then, place 1 doom on this agenda (max once per round). This effect can cause this agenda to advance.