Quick Summary
As an F2P or controlled spender, you need to make a clear choice: go for T11 troops or focus on T10 TG8 troops.
Getting both is extremely difficult without heavy spending.
You unlock the War Academy at 220 days , and TG8 becomes available at 310 days . So yes, you unlock T11 first; but that doesn't mean you should rush it without thinking about the trade-offs.
