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In a recent breakthrough, Chen, Hirahara and Ren prove that $\mathsf{S_2E}/_1\not\subset \mathsf{SIZE}[2^n/n]$ by giving a single-valued $\mathsf{FS_2P}$algorithm for the Range Avoidance Problem ($\mathsf{Avoid}$) that works forinfinitely many input size $n$.  Building on their work, we present a simple single-valued $\mathsf{FS_2P}$algorithm for $\mathsf{Avoid}$ that works for all input size $n$. As a result,we obtain the circuit lower bound $\mathsf{S_2E} \not\subset\mathsf{SIZE}[2^n/n]$ and many other corollaries:  1. Near-maximum circuit lower bound for $\mathsf{\Sigma_2E} \cap\mathsf{\Pi_2E}$ and $\mathsf{ZPE}^{\mathsf{NP}}$.  2. Pseudodeterministic $\mathsf{FZPP}^{\mathsf{NP}}$ constructions for:Ramsey graphs, rigid matrices, pseudorandom generators, two-source extractors,linear codes, hard truth tables, and $K^{poly}$-random strings.

Symmetric Exponential Time Requires Near-Maximum Circuit Size: Simplified, Truly Uniform