Effect of diameter estimate in estimating the norm of traceless second fundamental form

Question

The traceless second fundamental form is $$ \mathring A = A -\frac{H}{n}g $$ where $A$ is second fundamental form, $H$ is mean curvature, $g$ is metric, $n$ is dimension, $M_t\subset \mathbb R^{n+1}$ is closed hypersurface. Assume we have $$ (1)~~~\int_{M_t} |\mathring A|^2 \le 2\varepsilon ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\ (2)~~~\max_{M_t} |\nabla ^m \mathring A| \le C \varepsilon^\alpha ~~~~~\forall m\in [1, \hat m] $$ where $\varepsilon$ is a small constant, $\alpha\in (0,1)$ is constant. And the Topping's estimate about the diameter $$ (3)~~~diam(M_t) \le C(n) \int _{M_t} |H|^{n-1}~~~~~~~~ $$ There is a conclusion in first paragraph of 8th page in Blow-up of the mean curvature at the first singular time of the mean curvature flow that $$ (1),(2),(3)\Rightarrow \max_{M_t} |\mathring A| \le C_1 \varepsilon^\alpha. $$ I only get the $\max_{M_t} |\mathring A|$ is bounded from (1) and (2). I don't how to get the result from (1),(2),(3). Especially how to use the (3).