Irelia is exhausted at base. I play en-garde on it and also use Irelia's legend ability to ready her. At the moment, how much might would she be at?

Irelia starts at printed Might 4, exhausted at your base. Here's the full breakdown:

1. En Garde targets/chooses Irelia → triggers her ability (+1 from being chosen). Simultaneously, Blade Dancer triggers (choosing a friendly unit) → you exhaust it and pay [A] to ready Irelia.
2. Blade Dancer resolves — Irelia goes from exhausted to ready → triggers her ability again (+1 from being readied).
3. Irelia's "chosen" trigger resolves — another +1.
4. En Garde resolves — gives +1 Might (base effect), and if Irelia is the only unit you control at that location, an additional +1.

Final result:

• Alone at base: 4 + 1 (chosen) + 1 (readied) + 2 (En Garde) = 8 Might
• Other friendly units also at base: 4 + 1 + 1 + 1 = 7 Might