  We construct a new model of quintessential $\alpha$-attractor inflation in
conjunction with the features of non-oscillating early dark energy (EDE).
Slow-roll plateau of this model is obtained, and analysed in $k$-space, through
the inflaton field and its first order perturbation over a quasi de-Sitter
metric fluctuation in the range $k=0.001-0.009$ Mpc$^{-1}$. The estimated
cosmological parameters are found to obey Planck+BICEP2/Keck bounds with $68\%$
CL with required amount of spectral tilts in the $n_s-r$ parametric space. We
verify that, the inclusion of the EDE does not significantly affect the
observed parameters. Its presence manifests in obtaining \textit{improved
values} of the energy scale of inflation ($M$) and the present day vacuum
density ($V_{\Lambda}$). They are found to be $M=5.58\times 10^{-4}-4.57\times
10^{-3} M_P$ and $V_{\Lambda}=1.042\times 10^{-119}-4.688\times 10^{-116}
M_P^4$.
  However, the $\alpha$-parameter is drastically constrained in two ways. Its
lower end is fixed by the consistency analysis of the $k$-mode equations, while
the upper end is evaluated as a derived expression of $\alpha$-cut-off through
the aspects of EDE \textit{viz.,} the effects of enhanced symmetry point in the
potential during inflation. Improvised range of $\alpha$ is found to be
$0.001\leq\alpha<0.1$ for the model parameters $\gamma$ and $n$ lying within
$0.01\leq\gamma\leq 0.09$ and $8\leq n\leq 10$ respectively. These ranges are
shown to be essential for satisfying the COBE/Planck normalized energy scale of
inflation and the Planck-value of present day vacuum density. If we choose
$\gamma=0.0818$ and $n=8$, then we get $0.001\leq\alpha\leq 0.0186$. Thus, the
lower and upper limits of $\alpha$ are found to be diminished substantially in
comparison to the earlier studies.

General Relativity and Quantum Cosmology;High Energy Physics - Theory