Corrigendum: Strong ${\mathbb{A}}^1$-invariance of ${\mathbb{A}}^1$-connected components of reductive algebraic groups (J. Topol. 16 (2023), no. 2, 634--649.)

The proof of Lemma 5.1 in the paper Strong ${\mathbb{A}}^1$-invariance of ${\mathbb{A}}^1$-connected components of reductive algebraic groups (J. Topol. 16 (2023), no. 2, 634–649) is incomplete as it relies on some results of Choudhury-Hagadi, the proof of which contains a gap. The goal of this note is to give a complete and self-contained proof of this lemma.