Steady state and Taylor Rule

Hi
I am a beginner and I apologize for asking this Beginner question. My question is about the Taylor rule.
If we consider the Taylor rule as follows:
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We consider the Taylor as one of the equations in Dynare(in the model block). We also consider the Euler as an equation(in the model block). How does Dynare compute the Steady State?(for R)? What is my mistake?

For me this Taylor Rule looks inconsistent with the Euler equation.
If you reformulate the Taylor Rule
\begin{align}\frac{R_t}{\bar{R}}={\left(\frac{R_{t-1}}{\bar{R}}\right)}^{\rho_R}{\left(\frac{\pi_{t}}{\bar{\pi}}\right)}^{\rho_\pi}{\left(\frac{Y_{t}}{\bar{Y}}\right)}^{\rho_Y}\end{align}
the Euler equation should determine the gross nominal interest rate in steady state as a function of deep parameters (e.g. \bar{R}=\frac{\Pi}{\beta}).

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Thank you for your guidance. Yes. Your formulation solves the problem. Unfortunately, some incorrect formulations in some of the references misled me