Row Reduction & Rank · Superchallenge problem

Let $A$ be the $2026 \times 2026$ matrix with $a_{ii} = 1$ for all $i$, $a_{i,i+1} = 1$ for $1 \le i \le 2025$, $a_{2026,1} = 1$, and all other entries $0$. Find the rank of $A$.